Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [841,2,Mod(63,841)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(841, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("841.63");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 841 = 29^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 841.e (of order \(14\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.71541880999\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{14})\) |
Twist minimal: | no (minimal twist has level 29) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 651.4 | ||
Character | \(\chi\) | \(=\) | 841.651 |
Dual form | 841.2.e.k.270.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/841\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{9}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.04749 | − | 2.17513i | 0.740686 | − | 1.53805i | −0.0990667 | − | 0.995081i | \(-0.531586\pi\) |
0.839753 | − | 0.542969i | \(-0.182700\pi\) | |||||||
\(3\) | −1.88751 | − | 1.50524i | −1.08975 | − | 0.869049i | −0.0977437 | − | 0.995212i | \(-0.531163\pi\) |
−0.992010 | + | 0.126162i | \(0.959734\pi\) | |||||||
\(4\) | −2.38699 | − | 2.99318i | −1.19349 | − | 1.49659i | ||||
\(5\) | −0.900969 | − | 0.433884i | −0.402926 | − | 0.194039i | 0.221435 | − | 0.975175i | \(-0.428926\pi\) |
−0.624360 | + | 0.781136i | \(0.714640\pi\) | |||||||
\(6\) | −5.25123 | + | 2.52886i | −2.14381 | + | 1.03240i | ||||
\(7\) | −1.76350 | + | 2.21135i | −0.666539 | + | 0.835813i | −0.994038 | − | 0.109039i | \(-0.965223\pi\) |
0.327499 | + | 0.944852i | \(0.393794\pi\) | |||||||
\(8\) | −4.30354 | + | 0.982255i | −1.52153 | + | 0.347280i | ||||
\(9\) | 0.629384 | + | 2.75751i | 0.209795 | + | 0.919171i | ||||
\(10\) | −1.88751 | + | 1.50524i | −0.596882 | + | 0.475998i | ||||
\(11\) | −0.403828 | − | 0.0921712i | −0.121759 | − | 0.0277907i | 0.161207 | − | 0.986921i | \(-0.448461\pi\) |
−0.282966 | + | 0.959130i | \(0.591318\pi\) | |||||||
\(12\) | 9.24264i | 2.66812i | ||||||||
\(13\) | −0.851905 | + | 3.73244i | −0.236276 | + | 1.03519i | 0.708045 | + | 0.706167i | \(0.249577\pi\) |
−0.944321 | + | 0.329025i | \(0.893280\pi\) | |||||||
\(14\) | 2.96274 | + | 6.15220i | 0.791827 | + | 1.64424i | ||||
\(15\) | 1.04749 | + | 2.17513i | 0.270460 | + | 0.561616i | ||||
\(16\) | −0.667563 | + | 2.92478i | −0.166891 | + | 0.731196i | ||||
\(17\) | − | 0.828427i | − | 0.200923i | −0.994941 | − | 0.100462i | \(-0.967968\pi\) | ||
0.994941 | − | 0.100462i | \(-0.0320319\pi\) | |||||||
\(18\) | 6.65722 | + | 1.51947i | 1.56912 | + | 0.358142i | ||||
\(19\) | 4.69099 | − | 3.74094i | 1.07619 | − | 0.858230i | 0.0857663 | − | 0.996315i | \(-0.472666\pi\) |
0.990420 | + | 0.138085i | \(0.0440947\pi\) | |||||||
\(20\) | 0.851905 | + | 3.73244i | 0.190492 | + | 0.834599i | ||||
\(21\) | 6.65722 | − | 1.51947i | 1.45273 | − | 0.331575i | ||||
\(22\) | −0.623490 | + | 0.781831i | −0.132928 | + | 0.166687i | ||||
\(23\) | −3.29471 | + | 1.58665i | −0.686995 | + | 0.330839i | −0.744610 | − | 0.667500i | \(-0.767365\pi\) |
0.0576153 | + | 0.998339i | \(0.481650\pi\) | |||||||
\(24\) | 9.60149 | + | 4.62384i | 1.95990 | + | 0.943837i | ||||
\(25\) | −2.49396 | − | 3.12733i | −0.498792 | − | 0.625465i | ||||
\(26\) | 7.22619 | + | 5.76269i | 1.41717 | + | 1.13016i | ||||
\(27\) | −0.179721 | + | 0.373194i | −0.0345872 | + | 0.0718211i | ||||
\(28\) | 10.8284 | 2.04638 | ||||||||
\(29\) | 0 | 0 | ||||||||
\(30\) | 5.82843 | 1.06412 | ||||||||
\(31\) | −4.36967 | + | 9.07372i | −0.784816 | + | 1.62969i | −0.00799410 | + | 0.999968i | \(0.502545\pi\) |
−0.776822 | + | 0.629720i | \(0.783170\pi\) | |||||||
\(32\) | −1.23982 | − | 0.988722i | −0.219171 | − | 0.174783i | ||||
\(33\) | 0.623490 | + | 0.781831i | 0.108536 | + | 0.136099i | ||||
\(34\) | −1.80194 | − | 0.867767i | −0.309030 | − | 0.148821i | ||||
\(35\) | 2.54832 | − | 1.22721i | 0.430746 | − | 0.207436i | ||||
\(36\) | 6.75141 | − | 8.46601i | 1.12524 | − | 1.41100i | ||||
\(37\) | −3.89971 | + | 0.890084i | −0.641109 | + | 0.146329i | −0.530703 | − | 0.847558i | \(-0.678072\pi\) |
−0.110405 | + | 0.993887i | \(0.535215\pi\) | |||||||
\(38\) | −3.22328 | − | 14.1221i | −0.522885 | − | 2.29091i | ||||
\(39\) | 7.22619 | − | 5.76269i | 1.15712 | − | 0.922769i | ||||
\(40\) | 4.30354 | + | 0.982255i | 0.680449 | + | 0.155308i | ||||
\(41\) | − | 4.48528i | − | 0.700483i | −0.936659 | − | 0.350242i | \(-0.886099\pi\) | ||
0.936659 | − | 0.350242i | \(-0.113901\pi\) | |||||||
\(42\) | 3.66832 | − | 16.0720i | 0.566034 | − | 2.47996i | ||||
\(43\) | 1.55581 | + | 3.23068i | 0.237259 | + | 0.492674i | 0.985269 | − | 0.171014i | \(-0.0547044\pi\) |
−0.748009 | + | 0.663688i | \(0.768990\pi\) | |||||||
\(44\) | 0.688047 | + | 1.42874i | 0.103727 | + | 0.215391i | ||||
\(45\) | 0.629384 | − | 2.75751i | 0.0938231 | − | 0.411066i | ||||
\(46\) | 8.82843i | 1.30168i | ||||||||
\(47\) | 3.16134 | + | 0.721555i | 0.461129 | + | 0.105250i | 0.446773 | − | 0.894647i | \(-0.352573\pi\) |
0.0143558 | + | 0.999897i | \(0.495430\pi\) | |||||||
\(48\) | 5.66252 | − | 4.51571i | 0.817315 | − | 0.651787i | ||||
\(49\) | −0.222521 | − | 0.974928i | −0.0317887 | − | 0.139275i | ||||
\(50\) | −9.41474 | + | 2.14885i | −1.33144 | + | 0.303894i | ||||
\(51\) | −1.24698 | + | 1.56366i | −0.174612 | + | 0.218957i | ||||
\(52\) | 13.2054 | − | 6.35937i | 1.83126 | − | 0.881886i | ||||
\(53\) | −8.54594 | − | 4.11551i | −1.17388 | − | 0.565309i | −0.257755 | − | 0.966210i | \(-0.582983\pi\) |
−0.916121 | + | 0.400902i | \(0.868697\pi\) | |||||||
\(54\) | 0.623490 | + | 0.781831i | 0.0848462 | + | 0.106394i | ||||
\(55\) | 0.323845 | + | 0.258258i | 0.0436673 | + | 0.0348235i | ||||
\(56\) | 5.41716 | − | 11.2488i | 0.723899 | − | 1.50319i | ||||
\(57\) | −14.4853 | −1.91862 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.65685 | −0.476082 | −0.238041 | − | 0.971255i | \(-0.576505\pi\) | ||||
−0.238041 | + | 0.971255i | \(0.576505\pi\) | |||||||
\(60\) | 4.01023 | − | 8.32733i | 0.517719 | − | 1.07505i | ||||
\(61\) | 3.77502 | + | 3.01048i | 0.483341 | + | 0.385452i | 0.834626 | − | 0.550817i | \(-0.185684\pi\) |
−0.351285 | + | 0.936269i | \(0.614255\pi\) | |||||||
\(62\) | 15.1593 | + | 19.0092i | 1.92524 | + | 2.41417i | ||||
\(63\) | −7.20775 | − | 3.47107i | −0.908091 | − | 0.437314i | ||||
\(64\) | −8.85511 | + | 4.26439i | −1.10689 | + | 0.533049i | ||||
\(65\) | 2.38699 | − | 2.99318i | 0.296069 | − | 0.371259i | ||||
\(66\) | 2.35368 | − | 0.537213i | 0.289718 | − | 0.0661264i | ||||
\(67\) | 1.25877 | + | 5.51503i | 0.153783 | + | 0.673768i | 0.991765 | + | 0.128070i | \(0.0408782\pi\) |
−0.837982 | + | 0.545698i | \(0.816265\pi\) | |||||||
\(68\) | −2.47964 | + | 1.97744i | −0.300700 | + | 0.239800i | ||||
\(69\) | 8.60708 | + | 1.96451i | 1.03617 | + | 0.236499i | ||||
\(70\) | − | 6.82843i | − | 0.816153i | ||||||
\(71\) | −1.96451 | + | 8.60708i | −0.233144 | + | 1.02147i | 0.713869 | + | 0.700279i | \(0.246941\pi\) |
−0.947014 | + | 0.321193i | \(0.895916\pi\) | |||||||
\(72\) | −5.41716 | − | 11.2488i | −0.638418 | − | 1.32569i | ||||
\(73\) | −1.73553 | − | 3.60388i | −0.203129 | − | 0.421802i | 0.774373 | − | 0.632730i | \(-0.218066\pi\) |
−0.977502 | + | 0.210928i | \(0.932351\pi\) | |||||||
\(74\) | −2.14885 | + | 9.41474i | −0.249799 | + | 1.09444i | ||||
\(75\) | 9.65685i | 1.11508i | ||||||||
\(76\) | −22.3946 | − | 5.11143i | −2.56884 | − | 0.586321i | ||||
\(77\) | 0.915973 | − | 0.730464i | 0.104385 | − | 0.0832441i | ||||
\(78\) | −4.96527 | − | 21.7543i | −0.562206 | − | 2.46318i | ||||
\(79\) | 2.35368 | − | 0.537213i | 0.264810 | − | 0.0604412i | −0.0880542 | − | 0.996116i | \(-0.528065\pi\) |
0.352864 | + | 0.935674i | \(0.385208\pi\) | |||||||
\(80\) | 1.87047 | − | 2.34549i | 0.209125 | − | 0.262234i | ||||
\(81\) | 8.54594 | − | 4.11551i | 0.949549 | − | 0.457279i | ||||
\(82\) | −9.75608 | − | 4.69828i | −1.07738 | − | 0.518838i | ||||
\(83\) | 4.77397 | + | 5.98637i | 0.524011 | + | 0.657089i | 0.971455 | − | 0.237223i | \(-0.0762370\pi\) |
−0.447444 | + | 0.894312i | \(0.647666\pi\) | |||||||
\(84\) | −20.4387 | − | 16.2994i | −2.23005 | − | 1.77841i | ||||
\(85\) | −0.359441 | + | 0.746387i | −0.0389869 | + | 0.0809570i | ||||
\(86\) | 8.65685 | 0.933493 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.82843 | 0.194911 | ||||||||
\(89\) | 5.41716 | − | 11.2488i | 0.574218 | − | 1.19238i | −0.388395 | − | 0.921493i | \(-0.626970\pi\) |
0.962612 | − | 0.270883i | \(-0.0873155\pi\) | |||||||
\(90\) | −5.33868 | − | 4.25745i | −0.562746 | − | 0.448775i | ||||
\(91\) | −6.75141 | − | 8.46601i | −0.707740 | − | 0.887478i | ||||
\(92\) | 12.6136 | + | 6.07437i | 1.31505 | + | 0.633297i | ||||
\(93\) | 21.9059 | − | 10.5493i | 2.27154 | − | 1.09391i | ||||
\(94\) | 4.88094 | − | 6.12051i | 0.503431 | − | 0.631282i | ||||
\(95\) | −5.84957 | + | 1.33513i | −0.600153 | + | 0.136981i | ||||
\(96\) | 0.851905 | + | 3.73244i | 0.0869472 | + | 0.380941i | ||||
\(97\) | −3.50673 | + | 2.79653i | −0.356055 | + | 0.283944i | −0.785138 | − | 0.619321i | \(-0.787408\pi\) |
0.429083 | + | 0.903265i | \(0.358837\pi\) | |||||||
\(98\) | −2.35368 | − | 0.537213i | −0.237758 | − | 0.0542667i | ||||
\(99\) | − | 1.17157i | − | 0.117748i | ||||||
\(100\) | −3.40762 | + | 14.9298i | −0.340762 | + | 1.49298i | ||||
\(101\) | −1.01665 | − | 2.11110i | −0.101161 | − | 0.210062i | 0.844246 | − | 0.535957i | \(-0.180049\pi\) |
−0.945406 | + | 0.325894i | \(0.894335\pi\) | |||||||
\(102\) | 2.09498 | + | 4.35026i | 0.207434 | + | 0.430740i | ||||
\(103\) | 1.07443 | − | 4.70737i | 0.105866 | − | 0.463831i | −0.894009 | − | 0.448049i | \(-0.852119\pi\) |
0.999875 | − | 0.0157820i | \(-0.00502377\pi\) | |||||||
\(104\) | − | 16.8995i | − | 1.65713i | ||||||
\(105\) | −6.65722 | − | 1.51947i | −0.649679 | − | 0.148285i | ||||
\(106\) | −17.9035 | + | 14.2776i | −1.73895 | + | 1.38676i | ||||
\(107\) | 3.29964 | + | 14.4566i | 0.318988 | + | 1.39758i | 0.839331 | + | 0.543620i | \(0.182947\pi\) |
−0.520344 | + | 0.853957i | \(0.674196\pi\) | |||||||
\(108\) | 1.54603 | − | 0.352871i | 0.148767 | − | 0.0339550i | ||||
\(109\) | −7.89142 | + | 9.89553i | −0.755861 | + | 0.947820i | −0.999758 | − | 0.0219814i | \(-0.993003\pi\) |
0.243897 | + | 0.969801i | \(0.421574\pi\) | |||||||
\(110\) | 0.900969 | − | 0.433884i | 0.0859040 | − | 0.0413692i | ||||
\(111\) | 8.70053 | + | 4.18995i | 0.825817 | + | 0.397693i | ||||
\(112\) | −5.29049 | − | 6.63406i | −0.499904 | − | 0.626860i | ||||
\(113\) | −10.4091 | − | 8.30096i | −0.979204 | − | 0.780889i | −0.00350228 | − | 0.999994i | \(-0.501115\pi\) |
−0.975701 | + | 0.219105i | \(0.929686\pi\) | |||||||
\(114\) | −15.1732 | + | 31.5074i | −1.42110 | + | 2.95094i | ||||
\(115\) | 3.65685 | 0.341003 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −10.8284 | −1.00109 | ||||||||
\(118\) | −3.83051 | + | 7.95414i | −0.352627 | + | 0.732238i | ||||
\(119\) | 1.83195 | + | 1.46093i | 0.167934 | + | 0.133923i | ||||
\(120\) | −6.64444 | − | 8.33186i | −0.606552 | − | 0.760592i | ||||
\(121\) | −9.75608 | − | 4.69828i | −0.886916 | − | 0.427116i | ||||
\(122\) | 10.5025 | − | 5.05772i | 0.950848 | − | 0.457904i | ||||
\(123\) | −6.75141 | + | 8.46601i | −0.608754 | + | 0.763354i | ||||
\(124\) | 37.5897 | − | 8.57959i | 3.37565 | − | 0.770470i | ||||
\(125\) | 2.00269 | + | 8.77435i | 0.179126 | + | 0.784802i | ||||
\(126\) | −15.1001 | + | 12.0419i | −1.34522 | + | 1.07278i | ||||
\(127\) | −4.23425 | − | 0.966441i | −0.375729 | − | 0.0857578i | 0.0304859 | − | 0.999535i | \(-0.490295\pi\) |
−0.406215 | + | 0.913777i | \(0.633152\pi\) | |||||||
\(128\) | 20.5563i | 1.81694i | ||||||||
\(129\) | 1.92633 | − | 8.43981i | 0.169604 | − | 0.743084i | ||||
\(130\) | −4.01023 | − | 8.32733i | −0.351721 | − | 0.730355i | ||||
\(131\) | −9.24767 | − | 19.2030i | −0.807973 | − | 1.67777i | −0.732642 | − | 0.680614i | \(-0.761713\pi\) |
−0.0753308 | − | 0.997159i | \(-0.524001\pi\) | |||||||
\(132\) | 0.851905 | − | 3.73244i | 0.0741488 | − | 0.324867i | ||||
\(133\) | 16.9706i | 1.47153i | ||||||||
\(134\) | 13.3144 | + | 3.03894i | 1.15019 | + | 0.262524i | ||||
\(135\) | 0.323845 | − | 0.258258i | 0.0278722 | − | 0.0222273i | ||||
\(136\) | 0.813727 | + | 3.56517i | 0.0697765 | + | 0.305711i | ||||
\(137\) | −11.6991 | + | 2.67025i | −0.999525 | + | 0.228135i | −0.690823 | − | 0.723024i | \(-0.742752\pi\) |
−0.308702 | + | 0.951159i | \(0.599894\pi\) | |||||||
\(138\) | 13.2889 | − | 16.6637i | 1.13122 | − | 1.41851i | ||||
\(139\) | −12.6136 | + | 6.07437i | −1.06987 | + | 0.515222i | −0.884064 | − | 0.467365i | \(-0.845203\pi\) |
−0.185804 | + | 0.982587i | \(0.559489\pi\) | |||||||
\(140\) | −9.75608 | − | 4.69828i | −0.824539 | − | 0.397077i | ||||
\(141\) | −4.88094 | − | 6.12051i | −0.411050 | − | 0.515440i | ||||
\(142\) | 16.6637 | + | 13.2889i | 1.39839 | + | 1.11518i | ||||
\(143\) | 0.688047 | − | 1.42874i | 0.0575374 | − | 0.119478i | ||||
\(144\) | −8.48528 | −0.707107 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −9.65685 | −0.799207 | ||||||||
\(147\) | −1.04749 | + | 2.17513i | −0.0863954 | + | 0.179402i | ||||
\(148\) | 11.9727 | + | 9.54794i | 0.984153 | + | 0.784836i | ||||
\(149\) | 4.88094 | + | 6.12051i | 0.399863 | + | 0.501412i | 0.940476 | − | 0.339859i | \(-0.110379\pi\) |
−0.540614 | + | 0.841271i | \(0.681808\pi\) | |||||||
\(150\) | 21.0049 | + | 10.1154i | 1.71504 | + | 0.825922i | ||||
\(151\) | −12.7416 | + | 6.13604i | −1.03690 | + | 0.499344i | −0.873300 | − | 0.487183i | \(-0.838025\pi\) |
−0.163599 | + | 0.986527i | \(0.552310\pi\) | |||||||
\(152\) | −16.5133 | + | 20.7070i | −1.33941 | + | 1.67956i | ||||
\(153\) | 2.28440 | − | 0.521399i | 0.184683 | − | 0.0421526i | ||||
\(154\) | −0.629384 | − | 2.75751i | −0.0507172 | − | 0.222207i | ||||
\(155\) | 7.87388 | − | 6.27921i | 0.632445 | − | 0.504358i | ||||
\(156\) | −34.4976 | − | 7.87385i | −2.76202 | − | 0.630413i | ||||
\(157\) | 8.48528i | 0.677199i | 0.940931 | + | 0.338600i | \(0.109953\pi\) | ||||
−0.940931 | + | 0.338600i | \(0.890047\pi\) | |||||||
\(158\) | 1.29695 | − | 5.68230i | 0.103180 | − | 0.452059i | ||||
\(159\) | 9.93572 | + | 20.6317i | 0.787954 | + | 1.63620i | ||||
\(160\) | 0.688047 | + | 1.42874i | 0.0543949 | + | 0.112952i | ||||
\(161\) | 2.30157 | − | 10.0838i | 0.181389 | − | 0.794716i | ||||
\(162\) | − | 22.8995i | − | 1.79915i | ||||||
\(163\) | −3.83043 | − | 0.874270i | −0.300022 | − | 0.0684781i | 0.0698599 | − | 0.997557i | \(-0.477745\pi\) |
−0.369882 | + | 0.929079i | \(0.620602\pi\) | |||||||
\(164\) | −13.4253 | + | 10.7063i | −1.04834 | + | 0.836022i | ||||
\(165\) | −0.222521 | − | 0.974928i | −0.0173232 | − | 0.0758980i | ||||
\(166\) | 18.0218 | − | 4.11336i | 1.39876 | − | 0.319259i | ||||
\(167\) | 1.97744 | − | 2.47964i | 0.153019 | − | 0.191880i | −0.699413 | − | 0.714718i | \(-0.746555\pi\) |
0.852432 | + | 0.522838i | \(0.175127\pi\) | |||||||
\(168\) | −27.1571 | + | 13.0782i | −2.09522 | + | 1.00900i | ||||
\(169\) | −1.49277 | − | 0.718882i | −0.114829 | − | 0.0552986i | ||||
\(170\) | 1.24698 | + | 1.56366i | 0.0956390 | + | 0.119927i | ||||
\(171\) | 13.2681 | + | 10.5810i | 1.01464 | + | 0.809147i | ||||
\(172\) | 5.95632 | − | 12.3684i | 0.454165 | − | 0.943084i | ||||
\(173\) | −12.3431 | −0.938432 | −0.469216 | − | 0.883083i | \(-0.655463\pi\) | ||||
−0.469216 | + | 0.883083i | \(0.655463\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 11.3137 | 0.855236 | ||||||||
\(176\) | 0.539162 | − | 1.11958i | 0.0406408 | − | 0.0843916i | ||||
\(177\) | 6.90234 | + | 5.50443i | 0.518812 | + | 0.413739i | ||||
\(178\) | −18.7933 | − | 23.5661i | −1.40862 | − | 1.76635i | ||||
\(179\) | −5.84304 | − | 2.81386i | −0.436729 | − | 0.210318i | 0.202583 | − | 0.979265i | \(-0.435066\pi\) |
−0.639312 | + | 0.768947i | \(0.720781\pi\) | |||||||
\(180\) | −9.75608 | + | 4.69828i | −0.727175 | + | 0.350189i | ||||
\(181\) | 5.18351 | − | 6.49992i | 0.385287 | − | 0.483135i | −0.550932 | − | 0.834550i | \(-0.685728\pi\) |
0.936220 | + | 0.351415i | \(0.114299\pi\) | |||||||
\(182\) | −25.4867 | + | 5.81717i | −1.88920 | + | 0.431198i | ||||
\(183\) | −2.59389 | − | 11.3646i | −0.191746 | − | 0.840095i | ||||
\(184\) | 12.6204 | − | 10.0645i | 0.930390 | − | 0.741962i | ||||
\(185\) | 3.89971 | + | 0.890084i | 0.286713 | + | 0.0654403i | ||||
\(186\) | − | 58.6985i | − | 4.30398i | ||||||
\(187\) | −0.0763571 | + | 0.334542i | −0.00558379 | + | 0.0244642i | ||||
\(188\) | −5.38633 | − | 11.1848i | −0.392838 | − | 0.815737i | ||||
\(189\) | −0.508326 | − | 1.05555i | −0.0369753 | − | 0.0767800i | ||||
\(190\) | −3.22328 | + | 14.1221i | −0.233841 | + | 1.02453i | ||||
\(191\) | − | 25.3137i | − | 1.83164i | −0.401594 | − | 0.915818i | \(-0.631544\pi\) | ||
0.401594 | − | 0.915818i | \(-0.368456\pi\) | |||||||
\(192\) | 23.1330 | + | 5.27996i | 1.66948 | + | 0.381048i | ||||
\(193\) | −4.04330 | + | 3.22442i | −0.291043 | + | 0.232099i | −0.758116 | − | 0.652120i | \(-0.773880\pi\) |
0.467073 | + | 0.884219i | \(0.345309\pi\) | |||||||
\(194\) | 2.40955 | + | 10.5569i | 0.172996 | + | 0.757944i | ||||
\(195\) | −9.01091 | + | 2.05668i | −0.645285 | + | 0.147282i | ||||
\(196\) | −2.38699 | + | 2.99318i | −0.170499 | + | 0.213799i | ||||
\(197\) | −1.80194 | + | 0.867767i | −0.128383 | + | 0.0618259i | −0.496972 | − | 0.867766i | \(-0.665555\pi\) |
0.368590 | + | 0.929592i | \(0.379841\pi\) | |||||||
\(198\) | −2.54832 | − | 1.22721i | −0.181102 | − | 0.0872139i | ||||
\(199\) | −0.302568 | − | 0.379408i | −0.0214485 | − | 0.0268955i | 0.770992 | − | 0.636845i | \(-0.219761\pi\) |
−0.792440 | + | 0.609950i | \(0.791190\pi\) | |||||||
\(200\) | 13.8047 | + | 11.0089i | 0.976139 | + | 0.778445i | ||||
\(201\) | 5.92549 | − | 12.3044i | 0.417952 | − | 0.867885i | ||||
\(202\) | −5.65685 | −0.398015 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 7.65685 | 0.536087 | ||||||||
\(205\) | −1.94609 | + | 4.04110i | −0.135921 | + | 0.282243i | ||||
\(206\) | −9.11370 | − | 7.26793i | −0.634981 | − | 0.506381i | ||||
\(207\) | −6.44885 | − | 8.08660i | −0.448226 | − | 0.562057i | ||||
\(208\) | −10.3479 | − | 4.98328i | −0.717496 | − | 0.345528i | ||||
\(209\) | −2.23916 | + | 1.07832i | −0.154886 | + | 0.0745892i | ||||
\(210\) | −10.2784 | + | 12.8887i | −0.709277 | + | 0.889406i | ||||
\(211\) | −18.8988 | + | 4.31352i | −1.30104 | + | 0.296955i | −0.816263 | − | 0.577681i | \(-0.803958\pi\) |
−0.484781 | + | 0.874635i | \(0.661101\pi\) | |||||||
\(212\) | 8.08056 | + | 35.4032i | 0.554975 | + | 2.43151i | ||||
\(213\) | 16.6637 | − | 13.2889i | 1.14178 | − | 0.910539i | ||||
\(214\) | 34.9014 | + | 7.96602i | 2.38581 | + | 0.544546i | ||||
\(215\) | − | 3.58579i | − | 0.244549i | ||||||
\(216\) | 0.406863 | − | 1.78258i | 0.0276835 | − | 0.121290i | ||||
\(217\) | −12.3593 | − | 25.6644i | −0.839004 | − | 1.74221i | ||||
\(218\) | 13.2579 | + | 27.5303i | 0.897938 | + | 1.86459i | ||||
\(219\) | −2.14885 | + | 9.41474i | −0.145206 | + | 0.636189i | ||||
\(220\) | − | 1.58579i | − | 0.106914i | ||||||
\(221\) | 3.09205 | + | 0.705741i | 0.207994 | + | 0.0474733i | ||||
\(222\) | 18.2274 | − | 14.5359i | 1.22334 | − | 0.975583i | ||||
\(223\) | 0.705741 | + | 3.09205i | 0.0472599 | + | 0.207059i | 0.993045 | − | 0.117733i | \(-0.0375627\pi\) |
−0.945785 | + | 0.324792i | \(0.894706\pi\) | |||||||
\(224\) | 4.37283 | − | 0.998069i | 0.292172 | − | 0.0666863i | ||||
\(225\) | 7.05398 | − | 8.84541i | 0.470265 | − | 0.589694i | ||||
\(226\) | −28.9591 | + | 13.9459i | −1.92633 | + | 0.927671i | ||||
\(227\) | 7.33581 | + | 3.53274i | 0.486895 | + | 0.234476i | 0.661192 | − | 0.750217i | \(-0.270051\pi\) |
−0.174297 | + | 0.984693i | \(0.555765\pi\) | |||||||
\(228\) | 34.5762 | + | 43.3571i | 2.28986 | + | 2.87140i | ||||
\(229\) | −2.74792 | − | 2.19139i | −0.181588 | − | 0.144811i | 0.528478 | − | 0.848947i | \(-0.322763\pi\) |
−0.710065 | + | 0.704136i | \(0.751334\pi\) | |||||||
\(230\) | 3.83051 | − | 7.95414i | 0.252576 | − | 0.524480i | ||||
\(231\) | −2.82843 | −0.186097 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 18.3137 | 1.19977 | 0.599885 | − | 0.800086i | \(-0.295213\pi\) | ||||
0.599885 | + | 0.800086i | \(0.295213\pi\) | |||||||
\(234\) | −11.3426 | + | 23.5533i | −0.741492 | + | 1.53972i | ||||
\(235\) | −2.53520 | − | 2.02175i | −0.165378 | − | 0.131885i | ||||
\(236\) | 8.72886 | + | 10.9456i | 0.568200 | + | 0.712501i | ||||
\(237\) | −5.25123 | − | 2.52886i | −0.341104 | − | 0.164267i | ||||
\(238\) | 5.09665 | − | 2.45442i | 0.330367 | − | 0.159096i | ||||
\(239\) | −12.2558 | + | 15.3683i | −0.792765 | + | 0.994096i | 0.207111 | + | 0.978318i | \(0.433594\pi\) |
−0.999876 | + | 0.0157782i | \(0.994977\pi\) | |||||||
\(240\) | −7.06105 | + | 1.61164i | −0.455789 | + | 0.104031i | ||||
\(241\) | −4.07518 | − | 17.8545i | −0.262506 | − | 1.15011i | −0.918523 | − | 0.395367i | \(-0.870617\pi\) |
0.656018 | − | 0.754746i | \(-0.272240\pi\) | |||||||
\(242\) | −20.4387 | + | 16.2994i | −1.31385 | + | 1.04776i | ||||
\(243\) | −21.1139 | − | 4.81910i | −1.35446 | − | 0.309146i | ||||
\(244\) | − | 18.4853i | − | 1.18340i | ||||||
\(245\) | −0.222521 | + | 0.974928i | −0.0142163 | + | 0.0622859i | ||||
\(246\) | 11.3426 | + | 23.5533i | 0.723181 | + | 1.50170i | ||||
\(247\) | 9.96655 | + | 20.6958i | 0.634157 | + | 1.31684i | ||||
\(248\) | 9.89236 | − | 43.3412i | 0.628165 | − | 2.75217i | ||||
\(249\) | − | 18.4853i | − | 1.17146i | ||||||
\(250\) | 21.1832 | + | 4.83492i | 1.33974 | + | 0.305787i | ||||
\(251\) | 15.6922 | − | 12.5141i | 0.990482 | − | 0.789883i | 0.0127885 | − | 0.999918i | \(-0.495929\pi\) |
0.977694 | + | 0.210035i | \(0.0673577\pi\) | |||||||
\(252\) | 6.81524 | + | 29.8595i | 0.429320 | + | 1.88097i | ||||
\(253\) | 1.47674 | − | 0.337057i | 0.0928419 | − | 0.0211906i | ||||
\(254\) | −6.53747 | + | 8.19772i | −0.410197 | + | 0.514371i | ||||
\(255\) | 1.80194 | − | 0.867767i | 0.112842 | − | 0.0543417i | ||||
\(256\) | 27.0025 | + | 13.0037i | 1.68766 | + | 0.812734i | ||||
\(257\) | −11.3298 | − | 14.2071i | −0.706733 | − | 0.886215i | 0.290773 | − | 0.956792i | \(-0.406087\pi\) |
−0.997506 | + | 0.0705769i | \(0.977516\pi\) | |||||||
\(258\) | −16.3399 | − | 13.0306i | −1.01728 | − | 0.811251i | ||||
\(259\) | 4.90883 | − | 10.1933i | 0.305020 | − | 0.633381i | ||||
\(260\) | −14.6569 | −0.908980 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −51.4558 | −3.17895 | ||||||||
\(263\) | −1.19637 | + | 2.48429i | −0.0737715 | + | 0.153188i | −0.934593 | − | 0.355719i | \(-0.884236\pi\) |
0.860821 | + | 0.508907i | \(0.169950\pi\) | |||||||
\(264\) | −3.45117 | − | 2.75222i | −0.212405 | − | 0.169387i | ||||
\(265\) | 5.91398 | + | 7.41589i | 0.363293 | + | 0.455555i | ||||
\(266\) | 36.9132 | + | 17.7765i | 2.26329 | + | 1.08994i | ||||
\(267\) | −27.1571 | + | 13.0782i | −1.66199 | + | 0.800372i | ||||
\(268\) | 13.5028 | − | 16.9320i | 0.824816 | − | 1.03429i | ||||
\(269\) | 30.6672 | − | 6.99958i | 1.86981 | − | 0.426772i | 0.871803 | − | 0.489857i | \(-0.162951\pi\) |
0.998008 | + | 0.0630848i | \(0.0200939\pi\) | |||||||
\(270\) | −0.222521 | − | 0.974928i | −0.0135422 | − | 0.0593322i | ||||
\(271\) | −12.9443 | + | 10.3227i | −0.786309 | + | 0.627060i | −0.932078 | − | 0.362258i | \(-0.882006\pi\) |
0.145769 | + | 0.989319i | \(0.453434\pi\) | |||||||
\(272\) | 2.42297 | + | 0.553027i | 0.146914 | + | 0.0335322i | ||||
\(273\) | 26.1421i | 1.58219i | ||||||||
\(274\) | −6.44656 | + | 28.2442i | −0.389451 | + | 1.70630i | ||||
\(275\) | 0.718882 | + | 1.49277i | 0.0433502 | + | 0.0900177i | ||||
\(276\) | −14.6648 | − | 30.4518i | −0.882719 | − | 1.83299i | ||||
\(277\) | 3.85266 | − | 16.8796i | 0.231484 | − | 1.01420i | −0.716925 | − | 0.697150i | \(-0.754451\pi\) |
0.948409 | − | 0.317048i | \(-0.102692\pi\) | |||||||
\(278\) | 33.7990i | 2.02713i | ||||||||
\(279\) | −27.7711 | − | 6.33857i | −1.66261 | − | 0.379480i | ||||
\(280\) | −9.76139 | + | 7.78445i | −0.583354 | + | 0.465210i | ||||
\(281\) | −7.11412 | − | 31.1690i | −0.424393 | − | 1.85939i | −0.505718 | − | 0.862699i | \(-0.668772\pi\) |
0.0813255 | − | 0.996688i | \(-0.474085\pi\) | |||||||
\(282\) | −18.4256 | + | 4.20553i | −1.09723 | + | 0.250436i | ||||
\(283\) | −7.26793 | + | 9.11370i | −0.432034 | + | 0.541753i | −0.949424 | − | 0.313996i | \(-0.898332\pi\) |
0.517391 | + | 0.855749i | \(0.326903\pi\) | |||||||
\(284\) | 30.4518 | − | 14.6648i | 1.80698 | − | 0.870198i | ||||
\(285\) | 13.0508 | + | 6.28493i | 0.773062 | + | 0.372287i | ||||
\(286\) | −2.38699 | − | 2.99318i | −0.141145 | − | 0.176991i | ||||
\(287\) | 9.91854 | + | 7.90977i | 0.585473 | + | 0.466899i | ||||
\(288\) | 1.94609 | − | 4.04110i | 0.114674 | − | 0.238124i | ||||
\(289\) | 16.3137 | 0.959630 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 10.8284 | 0.634774 | ||||||||
\(292\) | −6.64437 | + | 13.7972i | −0.388832 | + | 0.807419i | ||||
\(293\) | −5.98637 | − | 4.77397i | −0.349727 | − | 0.278898i | 0.432831 | − | 0.901475i | \(-0.357515\pi\) |
−0.782559 | + | 0.622577i | \(0.786086\pi\) | |||||||
\(294\) | 3.63396 | + | 4.55685i | 0.211937 | + | 0.265761i | ||||
\(295\) | 3.29471 | + | 1.58665i | 0.191826 | + | 0.0923783i | ||||
\(296\) | 15.9083 | − | 7.66102i | 0.924650 | − | 0.445288i | ||||
\(297\) | 0.106974 | − | 0.134141i | 0.00620726 | − | 0.00778365i | ||||
\(298\) | 18.4256 | − | 4.20553i | 1.06737 | − | 0.243620i | ||||
\(299\) | −3.11529 | − | 13.6490i | −0.180162 | − | 0.789342i | ||||
\(300\) | 28.9047 | − | 23.0508i | 1.66882 | − | 1.33084i | ||||
\(301\) | −9.88785 | − | 2.25684i | −0.569926 | − | 0.130082i | ||||
\(302\) | 34.1421i | 1.96466i | ||||||||
\(303\) | −1.25877 | + | 5.51503i | −0.0723144 | + | 0.316830i | ||||
\(304\) | 7.80991 | + | 16.2174i | 0.447929 | + | 0.930134i | ||||
\(305\) | −2.09498 | − | 4.35026i | −0.119958 | − | 0.249095i | ||||
\(306\) | 1.25877 | − | 5.51503i | 0.0719590 | − | 0.315273i | ||||
\(307\) | − | 2.89949i | − | 0.165483i | −0.996571 | − | 0.0827415i | \(-0.973632\pi\) | ||
0.996571 | − | 0.0827415i | \(-0.0263676\pi\) | |||||||
\(308\) | −4.37283 | − | 0.998069i | −0.249165 | − | 0.0568703i | ||||
\(309\) | −9.11370 | + | 7.26793i | −0.518460 | + | 0.413458i | ||||
\(310\) | −5.41031 | − | 23.7041i | −0.307285 | − | 1.34630i | ||||
\(311\) | −2.61894 | + | 0.597756i | −0.148506 | + | 0.0338956i | −0.296128 | − | 0.955148i | \(-0.595695\pi\) |
0.147621 | + | 0.989044i | \(0.452838\pi\) | |||||||
\(312\) | −25.4378 | + | 31.8979i | −1.44013 | + | 1.80586i | ||||
\(313\) | −8.85511 | + | 4.26439i | −0.500520 | + | 0.241038i | −0.667070 | − | 0.744995i | \(-0.732452\pi\) |
0.166550 | + | 0.986033i | \(0.446737\pi\) | |||||||
\(314\) | 18.4566 | + | 8.88823i | 1.04157 | + | 0.501592i | ||||
\(315\) | 4.98792 | + | 6.25465i | 0.281037 | + | 0.352410i | ||||
\(316\) | −7.22619 | − | 5.76269i | −0.406505 | − | 0.324177i | ||||
\(317\) | −13.6482 | + | 28.3407i | −0.766558 | + | 1.59177i | 0.0389869 | + | 0.999240i | \(0.487587\pi\) |
−0.805545 | + | 0.592535i | \(0.798127\pi\) | |||||||
\(318\) | 55.2843 | 3.10019 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 9.82843 | 0.549426 | ||||||||
\(321\) | 15.5326 | − | 32.2538i | 0.866945 | − | 1.80023i | ||||
\(322\) | −19.5228 | − | 15.5689i | −1.08796 | − | 0.867620i | ||||
\(323\) | −3.09910 | − | 3.88614i | −0.172438 | − | 0.216231i | ||||
\(324\) | −32.7175 | − | 15.7559i | −1.81764 | − | 0.875329i | ||||
\(325\) | 13.7972 | − | 6.64437i | 0.765330 | − | 0.368563i | ||||
\(326\) | −5.91398 | + | 7.41589i | −0.327545 | + | 0.410728i | ||||
\(327\) | 29.7902 | − | 6.79943i | 1.64740 | − | 0.376009i | ||||
\(328\) | 4.40569 | + | 19.3026i | 0.243264 | + | 1.06581i | ||||
\(329\) | −7.17062 | + | 5.71838i | −0.395329 | + | 0.315265i | ||||
\(330\) | −2.35368 | − | 0.537213i | −0.129566 | − | 0.0295726i | ||||
\(331\) | − | 2.41421i | − | 0.132697i | −0.997797 | − | 0.0663486i | \(-0.978865\pi\) | ||
0.997797 | − | 0.0663486i | \(-0.0211349\pi\) | |||||||
\(332\) | 6.52291 | − | 28.5788i | 0.357991 | − | 1.56846i | ||||
\(333\) | −4.90883 | − | 10.1933i | −0.269002 | − | 0.558589i | ||||
\(334\) | −3.32218 | − | 6.89859i | −0.181782 | − | 0.377474i | ||||
\(335\) | 1.25877 | − | 5.51503i | 0.0687739 | − | 0.301318i | ||||
\(336\) | 20.4853i | 1.11756i | ||||||||
\(337\) | −21.2524 | − | 4.85073i | −1.15769 | − | 0.264236i | −0.399793 | − | 0.916605i | \(-0.630918\pi\) |
−0.757901 | + | 0.652369i | \(0.773775\pi\) | |||||||
\(338\) | −3.12733 | + | 2.49396i | −0.170104 | + | 0.135653i | ||||
\(339\) | 7.15230 | + | 31.3363i | 0.388460 | + | 1.70195i | ||||
\(340\) | 3.09205 | − | 0.705741i | 0.167690 | − | 0.0382742i | ||||
\(341\) | 2.60093 | − | 3.26147i | 0.140848 | − | 0.176618i | ||||
\(342\) | 36.9132 | − | 17.7765i | 1.99604 | − | 0.961241i | ||||
\(343\) | −15.2899 | − | 7.36325i | −0.825580 | − | 0.397578i | ||||
\(344\) | −9.86886 | − | 12.3752i | −0.532093 | − | 0.667224i | ||||
\(345\) | −6.90234 | − | 5.50443i | −0.371610 | − | 0.296349i | ||||
\(346\) | −12.9293 | + | 26.8480i | −0.695083 | + | 1.44336i | ||||
\(347\) | −2.48528 | −0.133417 | −0.0667084 | − | 0.997773i | \(-0.521250\pi\) | ||||
−0.0667084 | + | 0.997773i | \(0.521250\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −5.14214 | −0.275252 | −0.137626 | − | 0.990484i | \(-0.543947\pi\) | ||||
−0.137626 | + | 0.990484i | \(0.543947\pi\) | |||||||
\(350\) | 11.8510 | − | 24.6088i | 0.633461 | − | 1.31540i | ||||
\(351\) | −1.23982 | − | 0.988722i | −0.0661766 | − | 0.0527741i | ||||
\(352\) | 0.409542 | + | 0.513549i | 0.0218287 | + | 0.0273723i | ||||
\(353\) | 24.2996 | + | 11.7021i | 1.29334 | + | 0.622839i | 0.948784 | − | 0.315927i | \(-0.102315\pi\) |
0.344556 | + | 0.938766i | \(0.388030\pi\) | |||||||
\(354\) | 19.2030 | − | 9.24767i | 1.02063 | − | 0.491508i | ||||
\(355\) | 5.50443 | − | 6.90234i | 0.292145 | − | 0.366338i | ||||
\(356\) | −46.6006 | + | 10.6363i | −2.46983 | + | 0.563721i | ||||
\(357\) | −1.25877 | − | 5.51503i | −0.0666211 | − | 0.291886i | ||||
\(358\) | −12.2410 | + | 9.76189i | −0.646958 | + | 0.515932i | ||||
\(359\) | 3.83043 | + | 0.874270i | 0.202162 | + | 0.0461422i | 0.322403 | − | 0.946603i | \(-0.395509\pi\) |
−0.120241 | + | 0.992745i | \(0.538367\pi\) | |||||||
\(360\) | 12.4853i | 0.658032i | ||||||||
\(361\) | 3.78286 | − | 16.5738i | 0.199098 | − | 0.872304i | ||||
\(362\) | −8.70851 | − | 18.0834i | −0.457709 | − | 0.950443i | ||||
\(363\) | 11.3426 | + | 23.5533i | 0.595335 | + | 1.23623i | ||||
\(364\) | −9.22479 | + | 40.4165i | −0.483511 | + | 2.11840i | ||||
\(365\) | 4.00000i | 0.209370i | ||||||||
\(366\) | −27.4366 | − | 6.26221i | −1.43413 | − | 0.327331i | ||||
\(367\) | 14.0730 | − | 11.2228i | 0.734603 | − | 0.585826i | −0.183100 | − | 0.983094i | \(-0.558613\pi\) |
0.917703 | + | 0.397268i | \(0.130042\pi\) | |||||||
\(368\) | −2.44118 | − | 10.6955i | −0.127255 | − | 0.557542i | ||||
\(369\) | 12.3682 | − | 2.82297i | 0.643864 | − | 0.146958i | ||||
\(370\) | 6.02095 | − | 7.55003i | 0.313014 | − | 0.392508i | ||||
\(371\) | 24.1716 | − | 11.6404i | 1.25493 | − | 0.604340i | ||||
\(372\) | −83.8651 | − | 40.3873i | −4.34820 | − | 2.09398i | ||||
\(373\) | −16.4063 | − | 20.5729i | −0.849488 | − | 1.06522i | −0.997094 | − | 0.0761775i | \(-0.975728\pi\) |
0.147607 | − | 0.989046i | \(-0.452843\pi\) | |||||||
\(374\) | 0.647690 | + | 0.516516i | 0.0334913 | + | 0.0267084i | ||||
\(375\) | 9.42739 | − | 19.5762i | 0.486828 | − | 1.01091i | ||||
\(376\) | −14.3137 | −0.738173 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −2.82843 | −0.145479 | ||||||||
\(379\) | 3.02441 | − | 6.28026i | 0.155354 | − | 0.322595i | −0.808736 | − | 0.588172i | \(-0.799848\pi\) |
0.964090 | + | 0.265576i | \(0.0855622\pi\) | |||||||
\(380\) | 17.9591 | + | 14.3219i | 0.921283 | + | 0.734699i | ||||
\(381\) | 6.53747 | + | 8.19772i | 0.334925 | + | 0.419982i | ||||
\(382\) | −55.0606 | − | 26.5158i | −2.81715 | − | 1.35667i | ||||
\(383\) | −3.16665 | + | 1.52498i | −0.161808 | + | 0.0779228i | −0.513035 | − | 0.858368i | \(-0.671479\pi\) |
0.351227 | + | 0.936290i | \(0.385765\pi\) | |||||||
\(384\) | 30.9422 | − | 38.8003i | 1.57901 | − | 1.98002i | ||||
\(385\) | −1.14220 | + | 0.260699i | −0.0582119 | + | 0.0132865i | ||||
\(386\) | 2.77824 | + | 12.1722i | 0.141409 | + | 0.619551i | ||||
\(387\) | −7.92944 | + | 6.32352i | −0.403076 | + | 0.321442i | ||||
\(388\) | 16.7410 | + | 3.82103i | 0.849898 | + | 0.193984i | ||||
\(389\) | 3.02944i | 0.153599i | 0.997047 | + | 0.0767993i | \(0.0244701\pi\) | ||||
−0.997047 | + | 0.0767993i | \(0.975530\pi\) | |||||||
\(390\) | −4.96527 | + | 21.7543i | −0.251426 | + | 1.10157i | ||||
\(391\) | 1.31442 | + | 2.72943i | 0.0664733 | + | 0.138033i | ||||
\(392\) | 1.91526 | + | 3.97707i | 0.0967350 | + | 0.200872i | ||||
\(393\) | −11.4500 | + | 50.1657i | −0.577576 | + | 2.53053i | ||||
\(394\) | 4.82843i | 0.243253i | ||||||||
\(395\) | −2.35368 | − | 0.537213i | −0.118427 | − | 0.0270301i | ||||
\(396\) | −3.50673 | + | 2.79653i | −0.176220 | + | 0.140531i | ||||
\(397\) | −4.30425 | − | 18.8582i | −0.216024 | − | 0.946465i | −0.960383 | − | 0.278684i | \(-0.910102\pi\) |
0.744358 | − | 0.667780i | \(-0.232755\pi\) | |||||||
\(398\) | −1.14220 | + | 0.260699i | −0.0572533 | + | 0.0130677i | ||||
\(399\) | 25.5447 | − | 32.0321i | 1.27884 | − | 1.60361i | ||||
\(400\) | 10.8116 | − | 5.20660i | 0.540581 | − | 0.260330i | ||||
\(401\) | 16.8092 | + | 8.09491i | 0.839414 | + | 0.404240i | 0.803637 | − | 0.595120i | \(-0.202895\pi\) |
0.0357764 | + | 0.999360i | \(0.488610\pi\) | |||||||
\(402\) | −20.5568 | − | 25.7774i | −1.02528 | − | 1.28566i | ||||
\(403\) | −30.1446 | − | 24.0395i | −1.50161 | − | 1.19749i | ||||
\(404\) | −3.89218 | + | 8.08220i | −0.193643 | + | 0.402104i | ||||
\(405\) | −9.48528 | −0.471327 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.65685 | 0.0821272 | ||||||||
\(408\) | 3.83051 | − | 7.95414i | 0.189639 | − | 0.393789i | ||||
\(409\) | 14.8318 | + | 11.8280i | 0.733384 | + | 0.584855i | 0.917352 | − | 0.398078i | \(-0.130323\pi\) |
−0.183967 | + | 0.982932i | \(0.558894\pi\) | |||||||
\(410\) | 6.75141 | + | 8.46601i | 0.333429 | + | 0.418106i | ||||
\(411\) | 26.1016 | + | 12.5699i | 1.28750 | + | 0.620025i | ||||
\(412\) | −16.6547 | + | 8.02046i | −0.820516 | + | 0.395140i | ||||
\(413\) | 6.44885 | − | 8.08660i | 0.317327 | − | 0.397915i | ||||
\(414\) | −24.3445 | + | 5.55647i | −1.19647 | + | 0.273086i | ||||
\(415\) | −1.70381 | − | 7.46488i | −0.0836368 | − | 0.366437i | ||||
\(416\) | 4.74655 | − | 3.78525i | 0.232719 | − | 0.185587i | ||||
\(417\) | 32.9516 | + | 7.52098i | 1.61365 | + | 0.368304i | ||||
\(418\) | 6.00000i | 0.293470i | ||||||||
\(419\) | −2.11722 | + | 9.27616i | −0.103433 | + | 0.453170i | 0.896515 | + | 0.443013i | \(0.146090\pi\) |
−0.999948 | + | 0.0101574i | \(0.996767\pi\) | |||||||
\(420\) | 11.3426 | + | 23.5533i | 0.553465 | + | 1.14928i | ||||
\(421\) | −16.1026 | − | 33.4374i | −0.784793 | − | 1.62964i | −0.776863 | − | 0.629670i | \(-0.783190\pi\) |
−0.00792973 | − | 0.999969i | \(-0.502524\pi\) | |||||||
\(422\) | −10.4138 | + | 45.6256i | −0.506934 | + | 2.22102i | ||||
\(423\) | 9.17157i | 0.445937i | ||||||||
\(424\) | 40.8203 | + | 9.31696i | 1.98241 | + | 0.452472i | ||||
\(425\) | −2.59076 | + | 2.06606i | −0.125670 | + | 0.100219i | ||||
\(426\) | −11.4500 | − | 50.1657i | −0.554754 | − | 2.43054i | ||||
\(427\) | −13.3144 | + | 3.03894i | −0.644331 | + | 0.147064i | ||||
\(428\) | 35.3952 | − | 44.3842i | 1.71089 | − | 2.14539i | ||||
\(429\) | −3.44929 | + | 1.66109i | −0.166533 | + | 0.0801983i | ||||
\(430\) | −7.79956 | − | 3.75607i | −0.376128 | − | 0.181134i | ||||
\(431\) | 12.2558 | + | 15.3683i | 0.590343 | + | 0.740267i | 0.983838 | − | 0.179060i | \(-0.0573055\pi\) |
−0.393495 | + | 0.919327i | \(0.628734\pi\) | |||||||
\(432\) | −0.971536 | − | 0.774774i | −0.0467430 | − | 0.0372763i | ||||
\(433\) | 13.2887 | − | 27.5943i | 0.638616 | − | 1.32610i | −0.290700 | − | 0.956814i | \(-0.593888\pi\) |
0.929316 | − | 0.369286i | \(-0.120398\pi\) | |||||||
\(434\) | −68.7696 | −3.30104 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 48.4558 | 2.32061 | ||||||||
\(437\) | −9.51990 | + | 19.7683i | −0.455398 | + | 0.945645i | ||||
\(438\) | 18.2274 | + | 14.5359i | 0.870938 | + | 0.694550i | ||||
\(439\) | 0.213948 | + | 0.268282i | 0.0102112 | + | 0.0128044i | 0.786911 | − | 0.617067i | \(-0.211679\pi\) |
−0.776700 | + | 0.629871i | \(0.783108\pi\) | |||||||
\(440\) | −1.64736 | − | 0.793325i | −0.0785346 | − | 0.0378203i | ||||
\(441\) | 2.54832 | − | 1.22721i | 0.121349 | − | 0.0584385i | ||||
\(442\) | 4.77397 | − | 5.98637i | 0.227075 | − | 0.284743i | ||||
\(443\) | −23.7328 | + | 5.41686i | −1.12758 | + | 0.257363i | −0.745330 | − | 0.666696i | \(-0.767708\pi\) |
−0.382250 | + | 0.924059i | \(0.624851\pi\) | |||||||
\(444\) | −8.22672 | − | 36.0436i | −0.390423 | − | 1.71056i | ||||
\(445\) | −9.76139 | + | 7.78445i | −0.462734 | + | 0.369018i | ||||
\(446\) | 7.46488 | + | 1.70381i | 0.353472 | + | 0.0806778i | ||||
\(447\) | − | 18.8995i | − | 0.893915i | ||||||
\(448\) | 6.18586 | − | 27.1020i | 0.292254 | − | 1.28045i | ||||
\(449\) | −15.1732 | − | 31.5074i | −0.716066 | − | 1.48693i | −0.866961 | − | 0.498376i | \(-0.833930\pi\) |
0.150895 | − | 0.988550i | \(-0.451784\pi\) | |||||||
\(450\) | −11.8510 | − | 24.6088i | −0.558660 | − | 1.16007i | ||||
\(451\) | −0.413414 | + | 1.81128i | −0.0194669 | + | 0.0852900i | ||||
\(452\) | 50.9706i | 2.39745i | ||||||||
\(453\) | 33.2861 | + | 7.59734i | 1.56392 | + | 0.356954i | ||||
\(454\) | 15.3683 | − | 12.2558i | 0.721272 | − | 0.575195i | ||||
\(455\) | 2.40955 | + | 10.5569i | 0.112962 | + | 0.494917i | ||||
\(456\) | 62.3380 | − | 14.2282i | 2.91924 | − | 0.666298i | ||||
\(457\) | −0.641844 | + | 0.804846i | −0.0300242 | + | 0.0376491i | −0.796617 | − | 0.604484i | \(-0.793379\pi\) |
0.766593 | + | 0.642134i | \(0.221951\pi\) | |||||||
\(458\) | −7.64497 | + | 3.68163i | −0.357226 | + | 0.172031i | ||||
\(459\) | 0.309164 | + | 0.148885i | 0.0144305 | + | 0.00694937i | ||||
\(460\) | −8.72886 | − | 10.9456i | −0.406985 | − | 0.510343i | ||||
\(461\) | 10.9456 | + | 8.72886i | 0.509789 | + | 0.406543i | 0.844318 | − | 0.535842i | \(-0.180006\pi\) |
−0.334529 | + | 0.942385i | \(0.608577\pi\) | |||||||
\(462\) | −2.96274 | + | 6.15220i | −0.137839 | + | 0.286226i | ||||
\(463\) | 26.0000 | 1.20832 | 0.604161 | − | 0.796862i | \(-0.293508\pi\) | ||||
0.604161 | + | 0.796862i | \(0.293508\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −24.3137 | −1.12752 | ||||||||
\(466\) | 19.1834 | − | 39.8347i | 0.888653 | − | 1.84531i | ||||
\(467\) | 29.9874 | + | 23.9142i | 1.38765 | + | 1.10662i | 0.981211 | + | 0.192938i | \(0.0618018\pi\) |
0.406441 | + | 0.913677i | \(0.366770\pi\) | |||||||
\(468\) | 25.8473 | + | 32.4115i | 1.19479 | + | 1.49822i | ||||
\(469\) | −14.4155 | − | 6.94214i | −0.665646 | − | 0.320558i | ||||
\(470\) | −7.05317 | + | 3.39663i | −0.325338 | + | 0.156675i | ||||
\(471\) | 12.7724 | − | 16.0160i | 0.588519 | − | 0.737980i | ||||
\(472\) | 15.7374 | − | 3.59196i | 0.724373 | − | 0.165334i | ||||
\(473\) | −0.330506 | − | 1.44804i | −0.0151967 | − | 0.0665811i | ||||
\(474\) | −11.0012 | + | 8.77317i | −0.505302 | + | 0.402965i | ||||
\(475\) | −23.3983 | − | 5.34050i | −1.07359 | − | 0.245039i | ||||
\(476\) | − | 8.97056i | − | 0.411165i | ||||||
\(477\) | 5.96989 | − | 26.1558i | 0.273342 | − | 1.19759i | ||||
\(478\) | 20.5903 | + | 42.7562i | 0.941779 | + | 1.95562i | ||||
\(479\) | −2.99358 | − | 6.21623i | −0.136780 | − | 0.284027i | 0.821316 | − | 0.570473i | \(-0.193240\pi\) |
−0.958096 | + | 0.286447i | \(0.907526\pi\) | |||||||
\(480\) | 0.851905 | − | 3.73244i | 0.0388840 | − | 0.170362i | ||||
\(481\) | − | 15.3137i | − | 0.698245i | ||||||
\(482\) | −43.1047 | − | 9.83836i | −1.96336 | − | 0.448125i | ||||
\(483\) | −19.5228 | + | 15.5689i | −0.888317 | + | 0.708409i | ||||
\(484\) | 9.22479 | + | 40.4165i | 0.419309 | + | 1.83711i | ||||
\(485\) | 4.37283 | − | 0.998069i | 0.198560 | − | 0.0453200i | ||||
\(486\) | −32.5987 | + | 40.8775i | −1.47871 | + | 1.85424i | ||||
\(487\) | 10.3744 | − | 4.99605i | 0.470109 | − | 0.226393i | −0.183803 | − | 0.982963i | \(-0.558841\pi\) |
0.653912 | + | 0.756570i | \(0.273127\pi\) | |||||||
\(488\) | −19.2030 | − | 9.24767i | −0.869278 | − | 0.418622i | ||||
\(489\) | 5.91398 | + | 7.41589i | 0.267439 | + | 0.335358i | ||||
\(490\) | 1.88751 | + | 1.50524i | 0.0852689 | + | 0.0679997i | ||||
\(491\) | −9.21684 | + | 19.1390i | −0.415950 | + | 0.863729i | 0.582745 | + | 0.812655i | \(0.301979\pi\) |
−0.998695 | + | 0.0510739i | \(0.983736\pi\) | |||||||
\(492\) | 41.4558 | 1.86897 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 55.4558 | 2.49508 | ||||||||
\(495\) | −0.508326 | + | 1.05555i | −0.0228476 | + | 0.0474435i | ||||
\(496\) | −23.6216 | − | 18.8376i | −1.06064 | − | 0.845834i | ||||
\(497\) | −15.5689 | − | 19.5228i | −0.698360 | − | 0.875716i | ||||
\(498\) | −40.2079 | − | 19.3631i | −1.80176 | − | 0.867682i | ||||
\(499\) | 17.0919 | − | 8.23102i | 0.765138 | − | 0.368471i | −0.0102572 | − | 0.999947i | \(-0.503265\pi\) |
0.775395 | + | 0.631476i | \(0.217551\pi\) | |||||||
\(500\) | 21.4829 | − | 26.9387i | 0.960743 | − | 1.20473i | ||||
\(501\) | −7.46488 | + | 1.70381i | −0.333506 | + | 0.0761206i | ||||
\(502\) | −10.7824 | − | 47.2410i | −0.481244 | − | 2.10847i | ||||
\(503\) | −0.212719 | + | 0.169638i | −0.00948468 | + | 0.00756378i | −0.628221 | − | 0.778035i | \(-0.716216\pi\) |
0.618736 | + | 0.785599i | \(0.287645\pi\) | |||||||
\(504\) | 34.4283 | + | 7.85804i | 1.53356 | + | 0.350025i | ||||
\(505\) | 2.34315i | 0.104269i | ||||||||
\(506\) | 0.813727 | − | 3.56517i | 0.0361746 | − | 0.158491i | ||||
\(507\) | 1.73553 | + | 3.60388i | 0.0770778 | + | 0.160054i | ||||
\(508\) | 7.21437 | + | 14.9808i | 0.320086 | + | 0.664665i | ||||
\(509\) | 2.33975 | − | 10.2511i | 0.103707 | − | 0.454372i | −0.896234 | − | 0.443581i | \(-0.853708\pi\) |
0.999942 | − | 0.0107909i | \(-0.00343493\pi\) | |||||||
\(510\) | − | 4.82843i | − | 0.213806i | ||||||
\(511\) | 11.0301 | + | 2.51754i | 0.487941 | + | 0.111369i | ||||
\(512\) | 24.4265 | − | 19.4795i | 1.07951 | − | 0.860879i | ||||
\(513\) | 0.553027 | + | 2.42297i | 0.0244167 | + | 0.106977i | ||||
\(514\) | −42.7701 | + | 9.76201i | −1.88651 | + | 0.430584i | ||||
\(515\) | −3.01048 | + | 3.77502i | −0.132657 | + | 0.166347i | ||||
\(516\) | −29.8600 | + | 14.3798i | −1.31451 | + | 0.633037i | ||||
\(517\) | −1.21013 | − | 0.582769i | −0.0532216 | − | 0.0256302i | ||||
\(518\) | −17.0298 | − | 21.3547i | −0.748247 | − | 0.938272i | ||||
\(519\) | 23.2978 | + | 18.5794i | 1.02266 | + | 0.815544i | ||||
\(520\) | −7.33242 | + | 15.2259i | −0.321548 | + | 0.667701i | ||||
\(521\) | 29.1421 | 1.27674 | 0.638370 | − | 0.769730i | \(-0.279609\pi\) | ||||
0.638370 | + | 0.769730i | \(0.279609\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.68629 | 0.204917 | 0.102459 | − | 0.994737i | \(-0.467329\pi\) | ||||
0.102459 | + | 0.994737i | \(0.467329\pi\) | |||||||
\(524\) | −35.4040 | + | 73.5172i | −1.54663 | + | 3.21162i | ||||
\(525\) | −21.3547 | − | 17.0298i | −0.931996 | − | 0.743242i | ||||
\(526\) | 4.15048 | + | 5.20454i | 0.180970 | + | 0.226929i | ||||
\(527\) | 7.51691 | + | 3.61996i | 0.327442 | + | 0.157688i | ||||
\(528\) | −2.70291 | + | 1.30165i | −0.117629 | + | 0.0566471i | ||||
\(529\) | −6.00260 | + | 7.52702i | −0.260982 | + | 0.327262i | ||||
\(530\) | 22.3254 | − | 5.09562i | 0.969752 | − | 0.221339i | ||||
\(531\) | −2.30157 | − | 10.0838i | −0.0998795 | − | 0.437601i | ||||
\(532\) | 50.7960 | − | 40.5085i | 2.20229 | − | 1.75627i | ||||
\(533\) | 16.7410 | + | 3.82103i | 0.725135 | + | 0.165507i | ||||
\(534\) | 72.7696i | 3.14905i | ||||||||
\(535\) | 3.29964 | − | 14.4566i | 0.142656 | − | 0.625015i | ||||
\(536\) | −10.8343 | − | 22.4977i | −0.467971 | − | 0.971753i | ||||
\(537\) | 6.79325 | + | 14.1063i | 0.293151 | + | 0.608733i | ||||
\(538\) | 16.8985 | − | 74.0371i | 0.728546 | − | 3.19197i | ||||
\(539\) | 0.414214i | 0.0178414i | ||||||||
\(540\) | −1.54603 | − | 0.352871i | −0.0665304 | − | 0.0151851i | ||||
\(541\) | −8.08660 | + | 6.44885i | −0.347670 | + | 0.277258i | −0.781718 | − | 0.623632i | \(-0.785656\pi\) |
0.434048 | + | 0.900890i | \(0.357085\pi\) | |||||||
\(542\) | 8.89429 | + | 38.9684i | 0.382042 | + | 1.67384i | ||||
\(543\) | −19.5678 | + | 4.46623i | −0.839737 | + | 0.191664i | ||||
\(544\) | −0.819084 | + | 1.02710i | −0.0351179 | + | 0.0440365i | ||||
\(545\) | 11.4034 | − | 5.49160i | 0.488469 | − | 0.235234i | ||||
\(546\) | 56.8626 | + | 27.3836i | 2.43349 | + | 1.17191i | ||||
\(547\) | 22.3203 | + | 27.9888i | 0.954347 | + | 1.19671i | 0.980393 | + | 0.197053i | \(0.0631371\pi\) |
−0.0260455 | + | 0.999661i | \(0.508291\pi\) | |||||||
\(548\) | 35.9182 | + | 28.6438i | 1.53435 | + | 1.22360i | ||||
\(549\) | −5.92549 | + | 12.3044i | −0.252894 | + | 0.525139i | ||||
\(550\) | 4.00000 | 0.170561 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −38.9706 | −1.65870 | ||||||||
\(553\) | −2.96274 | + | 6.15220i | −0.125989 | + | 0.261618i | ||||
\(554\) | −32.6798 | − | 26.0612i | −1.38843 | − | 1.10724i | ||||
\(555\) | −6.02095 | − | 7.55003i | −0.255575 | − | 0.320481i | ||||
\(556\) | 48.2901 | + | 23.2553i | 2.04796 | + | 0.986244i | ||||
\(557\) | −15.5991 | + | 7.51214i | −0.660956 | + | 0.318299i | −0.734119 | − | 0.679021i | \(-0.762405\pi\) |
0.0731637 | + | 0.997320i | \(0.476690\pi\) | |||||||
\(558\) | −42.8771 | + | 53.7662i | −1.81513 | + | 2.27610i | ||||
\(559\) | −13.3837 | + | 3.05475i | −0.566072 | + | 0.129202i | ||||
\(560\) | 1.88815 | + | 8.27254i | 0.0797890 | + | 0.349579i | ||||
\(561\) | 0.647690 | − | 0.516516i | 0.0273455 | − | 0.0218073i | ||||
\(562\) | −75.2486 | − | 17.1750i | −3.17417 | − | 0.724484i | ||||
\(563\) | − | 0.757359i | − | 0.0319189i | −0.999873 | − | 0.0159594i | \(-0.994920\pi\) | ||
0.999873 | − | 0.0159594i | \(-0.00508026\pi\) | |||||||
\(564\) | −6.66908 | + | 29.2191i | −0.280819 | + | 1.23035i | ||||
\(565\) | 5.77660 | + | 11.9952i | 0.243023 | + | 0.504643i | ||||
\(566\) | 12.2104 | + | 25.3552i | 0.513242 | + | 1.06576i | ||||
\(567\) | −5.96989 | + | 26.1558i | −0.250712 | + | 1.09844i | ||||
\(568\) | − | 38.9706i | − | 1.63517i | ||||||
\(569\) | 38.6626 | + | 8.82448i | 1.62082 | + | 0.369941i | 0.934109 | − | 0.356989i | \(-0.116197\pi\) |
0.686711 | + | 0.726931i | \(0.259054\pi\) | |||||||
\(570\) | 27.3411 | − | 21.8038i | 1.14519 | − | 0.913260i | ||||
\(571\) | −3.25491 | − | 14.2607i | −0.136214 | − | 0.596791i | −0.996247 | − | 0.0865534i | \(-0.972415\pi\) |
0.860034 | − | 0.510237i | \(-0.170442\pi\) | |||||||
\(572\) | −5.91885 | + | 1.35094i | −0.247480 | + | 0.0564856i | ||||
\(573\) | −38.1031 | + | 47.7798i | −1.59178 | + | 1.99603i | ||||
\(574\) | 27.5943 | − | 13.2887i | 1.15177 | − | 0.554661i | ||||
\(575\) | 13.1788 | + | 6.34660i | 0.549596 | + | 0.264671i | ||||
\(576\) | −17.3324 | − | 21.7341i | −0.722183 | − | 0.905589i | ||||
\(577\) | −23.2978 | − | 18.5794i | −0.969900 | − | 0.773469i | 0.00410633 | − | 0.999992i | \(-0.498693\pi\) |
−0.974006 | + | 0.226522i | \(0.927264\pi\) | |||||||
\(578\) | 17.0884 | − | 35.4845i | 0.710784 | − | 1.47596i | ||||
\(579\) | 12.4853 | 0.518871 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −21.6569 | −0.898478 | ||||||||
\(582\) | 11.3426 | − | 23.5533i | 0.470168 | − | 0.976314i | ||||
\(583\) | 3.07176 | + | 2.44965i | 0.127219 | + | 0.101454i | ||||
\(584\) | 11.0089 | + | 13.8047i | 0.455550 | + | 0.571242i | ||||
\(585\) | 9.75608 | + | 4.69828i | 0.403364 | + | 0.194250i | ||||
\(586\) | −16.6547 | + | 8.02046i | −0.687998 | + | 0.331322i | ||||
\(587\) | 4.77397 | − | 5.98637i | 0.197043 | − | 0.247084i | −0.673488 | − | 0.739199i | \(-0.735204\pi\) |
0.870530 | + | 0.492115i | \(0.163776\pi\) | |||||||
\(588\) | 9.01091 | − | 2.05668i | 0.371604 | − | 0.0848161i | ||||
\(589\) | 13.4461 | + | 58.9114i | 0.554039 | + | 2.42740i | ||||
\(590\) | 6.90234 | − | 5.50443i | 0.284165 | − | 0.226614i | ||||
\(591\) | 4.70737 | + | 1.07443i | 0.193635 | + | 0.0441960i | ||||
\(592\) | − | 12.0000i | − | 0.493197i | ||||||
\(593\) | −4.33588 | + | 18.9967i | −0.178053 | + | 0.780103i | 0.804474 | + | 0.593987i | \(0.202447\pi\) |
−0.982528 | + | 0.186116i | \(0.940410\pi\) | |||||||
\(594\) | −0.179721 | − | 0.373194i | −0.00737402 | − | 0.0153123i | ||||
\(595\) | −1.01665 | − | 2.11110i | −0.0416787 | − | 0.0865467i | ||||
\(596\) | 6.66908 | − | 29.2191i | 0.273176 | − | 1.19686i | ||||
\(597\) | 1.17157i | 0.0479493i | ||||||||
\(598\) | −32.9516 | − | 7.52098i | −1.34749 | − | 0.307556i | ||||
\(599\) | 7.71672 | − | 6.15388i | 0.315297 | − | 0.251441i | −0.453035 | − | 0.891493i | \(-0.649659\pi\) |
0.768332 | + | 0.640052i | \(0.221087\pi\) | |||||||
\(600\) | −9.48549 | − | 41.5587i | −0.387244 | − | 1.69663i | ||||
\(601\) | 16.7410 | − | 3.82103i | 0.682881 | − | 0.155863i | 0.133013 | − | 0.991114i | \(-0.457535\pi\) |
0.549869 | + | 0.835251i | \(0.314678\pi\) | |||||||
\(602\) | −15.2663 | + | 19.1434i | −0.622209 | + | 0.780225i | ||||
\(603\) | −14.4155 | + | 6.94214i | −0.587045 | + | 0.282706i | ||||
\(604\) | 48.7804 | + | 23.4914i | 1.98485 | + | 0.955851i | ||||
\(605\) | 6.75141 | + | 8.46601i | 0.274484 | + | 0.344192i | ||||
\(606\) | 10.6774 | + | 8.51491i | 0.433738 | + | 0.345895i | ||||
\(607\) | −3.35302 | + | 6.96262i | −0.136095 | + | 0.282604i | −0.957867 | − | 0.287213i | \(-0.907271\pi\) |
0.821772 | + | 0.569816i | \(0.192986\pi\) | |||||||
\(608\) | −9.51472 | −0.385873 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −11.6569 | −0.471972 | ||||||||
\(611\) | −5.38633 | + | 11.1848i | −0.217907 | + | 0.452489i | ||||
\(612\) | −7.01347 | − | 5.59305i | −0.283503 | − | 0.226086i | ||||
\(613\) | 5.61141 | + | 7.03648i | 0.226643 | + | 0.284201i | 0.882131 | − | 0.471005i | \(-0.156108\pi\) |
−0.655488 | + | 0.755205i | \(0.727537\pi\) | |||||||
\(614\) | −6.30678 | − | 3.03719i | −0.254521 | − | 0.122571i | ||||
\(615\) | 9.75608 | − | 4.69828i | 0.393403 | − | 0.189453i | ||||
\(616\) | −3.22442 | + | 4.04330i | −0.129916 | + | 0.162909i | ||||
\(617\) | 0.669085 | − | 0.152714i | 0.0269363 | − | 0.00614804i | −0.209032 | − | 0.977909i | \(-0.567031\pi\) |
0.235968 | + | 0.971761i | \(0.424174\pi\) | |||||||
\(618\) | 6.26221 | + | 27.4366i | 0.251903 | + | 1.10366i | ||||
\(619\) | −26.2584 | + | 20.9404i | −1.05542 | + | 0.841666i | −0.987750 | − | 0.156043i | \(-0.950126\pi\) |
−0.0676649 | + | 0.997708i | \(0.521555\pi\) | |||||||
\(620\) | −37.5897 | − | 8.57959i | −1.50964 | − | 0.344565i | ||||
\(621\) | − | 1.51472i | − | 0.0607836i | ||||||
\(622\) | −1.44311 | + | 6.32268i | −0.0578635 | + | 0.253516i | ||||
\(623\) | 15.3220 | + | 31.8166i | 0.613865 | + | 1.27470i | ||||
\(624\) | 12.0307 | + | 24.9820i | 0.481613 | + | 1.00008i | ||||
\(625\) | −2.44773 | + | 10.7242i | −0.0979092 | + | 0.428968i | ||||
\(626\) | 23.7279i | 0.948358i | ||||||||
\(627\) | 5.84957 | + | 1.33513i | 0.233609 | + | 0.0533198i | ||||
\(628\) | 25.3980 | − | 20.2542i | 1.01349 | − | 0.808232i | ||||
\(629\) | 0.737370 | + | 3.23063i | 0.0294008 | + | 0.128814i | ||||
\(630\) | 18.8295 | − | 4.29770i | 0.750184 | − | 0.171225i | ||||
\(631\) | 22.9621 | − | 28.7936i | 0.914109 | − | 1.14626i | −0.0747207 | − | 0.997204i | \(-0.523807\pi\) |
0.988829 | − | 0.149052i | \(-0.0476220\pi\) | |||||||
\(632\) | −9.60149 | + | 4.62384i | −0.381927 | + | 0.183926i | ||||
\(633\) | 42.1644 | + | 20.3053i | 1.67589 | + | 0.807064i | ||||
\(634\) | 47.3485 | + | 59.3732i | 1.88045 | + | 2.35801i | ||||
\(635\) | 3.39561 | + | 2.70791i | 0.134751 | + | 0.107460i | ||||
\(636\) | 38.0382 | − | 78.9871i | 1.50831 | − | 3.13204i | ||||
\(637\) | 3.82843 | 0.151688 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −24.9706 | −0.987820 | ||||||||
\(640\) | 8.91907 | − | 18.5206i | 0.352557 | − | 0.732092i | ||||
\(641\) | −13.9158 | − | 11.0975i | −0.549641 | − | 0.438324i | 0.308881 | − | 0.951101i | \(-0.400046\pi\) |
−0.858522 | + | 0.512776i | \(0.828617\pi\) | |||||||
\(642\) | −53.8860 | − | 67.5709i | −2.12671 | − | 2.66681i | ||||
\(643\) | 29.2682 | + | 14.0948i | 1.15423 | + | 0.555846i | 0.910301 | − | 0.413948i | \(-0.135850\pi\) |
0.243926 | + | 0.969794i | \(0.421565\pi\) | |||||||
\(644\) | −35.6765 | + | 17.1809i | −1.40585 | + | 0.677023i | ||||
\(645\) | −5.39746 | + | 6.76820i | −0.212525 | + | 0.266498i | ||||
\(646\) | −11.6991 | + | 2.67025i | −0.460296 | + | 0.105060i | ||||
\(647\) | 8.82448 | + | 38.6626i | 0.346926 | + | 1.51998i | 0.784117 | + | 0.620614i | \(0.213116\pi\) |
−0.437190 | + | 0.899369i | \(0.644026\pi\) | |||||||
\(648\) | −32.7353 | + | 26.1056i | −1.28597 | + | 1.02552i | ||||
\(649\) | 1.47674 | + | 0.337057i | 0.0579672 | + | 0.0132306i | ||||
\(650\) | − | 36.9706i | − | 1.45010i | ||||||
\(651\) | −15.3027 | + | 67.0454i | −0.599759 | + | 2.62771i | ||||
\(652\) | 6.52632 | + | 13.5520i | 0.255590 | + | 0.530739i | ||||
\(653\) | 13.0782 | + | 27.1571i | 0.511789 | + | 1.06274i | 0.983487 | + | 0.180980i | \(0.0579270\pi\) |
−0.471698 | + | 0.881760i | \(0.656359\pi\) | |||||||
\(654\) | 16.4153 | − | 71.9200i | 0.641888 | − | 2.81229i | ||||
\(655\) | 21.3137i | 0.832796i | ||||||||
\(656\) | 13.1185 | + | 2.99421i | 0.512191 | + | 0.116904i | ||||
\(657\) | 8.84541 | − | 7.05398i | 0.345092 | − | 0.275202i | ||||
\(658\) | 4.92709 | + | 21.5870i | 0.192078 | + | 0.841548i | ||||
\(659\) | −14.0528 | + | 3.20746i | −0.547420 | + | 0.124945i | −0.487281 | − | 0.873245i | \(-0.662011\pi\) |
−0.0601386 | + | 0.998190i | \(0.519154\pi\) | |||||||
\(660\) | −2.38699 | + | 2.99318i | −0.0929133 | + | 0.116510i | ||||
\(661\) | −30.0146 | + | 14.4543i | −1.16743 | + | 0.562206i | −0.914226 | − | 0.405206i | \(-0.867200\pi\) |
−0.253208 | + | 0.967412i | \(0.581486\pi\) | |||||||
\(662\) | −5.25123 | − | 2.52886i | −0.204095 | − | 0.0982869i | ||||
\(663\) | −4.77397 | − | 5.98637i | −0.185406 | − | 0.232491i | ||||
\(664\) | −26.4251 | − | 21.0733i | −1.02549 | − | 0.817804i | ||||
\(665\) | 7.36325 | − | 15.2899i | 0.285535 | − | 0.592919i | ||||
\(666\) | −27.3137 | −1.05838 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −12.1421 | −0.469793 | ||||||||
\(669\) | 3.32218 | − | 6.89859i | 0.128443 | − | 0.266715i | ||||
\(670\) | −10.6774 | − | 8.51491i | −0.412502 | − | 0.328960i | ||||
\(671\) | −1.24698 | − | 1.56366i | −0.0481391 | − | 0.0603645i | ||||
\(672\) | −9.75608 | − | 4.69828i | −0.376349 | − | 0.181240i | ||||
\(673\) | −19.4856 | + | 9.38378i | −0.751116 | + | 0.361718i | −0.769950 | − | 0.638104i | \(-0.779719\pi\) |
0.0188341 | + | 0.999823i | \(0.494005\pi\) | |||||||
\(674\) | −32.8127 | + | 41.1458i | −1.26390 | + | 1.58488i | ||||
\(675\) | 1.61531 | − | 0.368685i | 0.0621734 | − | 0.0141907i | ||||
\(676\) | 1.41148 | + | 6.18411i | 0.0542878 | + | 0.237850i | ||||
\(677\) | 17.2003 | − | 13.7168i | 0.661061 | − | 0.527179i | −0.234501 | − | 0.972116i | \(-0.575346\pi\) |
0.895562 | + | 0.444937i | \(0.146774\pi\) | |||||||
\(678\) | 75.6524 | + | 17.2672i | 2.90541 | + | 0.663142i | ||||
\(679\) | − | 12.6863i | − | 0.486855i | ||||||
\(680\) | 0.813727 | − | 3.56517i | 0.0312050 | − | 0.136718i | ||||
\(681\) | −8.52879 | − | 17.7102i | −0.326824 | − | 0.678657i | ||||
\(682\) | −4.36967 | − | 9.07372i | −0.167323 | − | 0.347451i | ||||
\(683\) | −4.66639 | + | 20.4448i | −0.178554 | + | 0.782298i | 0.803744 | + | 0.594975i | \(0.202838\pi\) |
−0.982298 | + | 0.187323i | \(0.940019\pi\) | |||||||
\(684\) | − | 64.9706i | − | 2.48421i | ||||||
\(685\) | 11.6991 | + | 2.67025i | 0.447001 | + | 0.102025i | ||||
\(686\) | −32.0321 | + | 25.5447i | −1.22299 | + | 0.975302i | ||||
\(687\) | 1.88815 | + | 8.27254i | 0.0720375 | + | 0.315617i | ||||
\(688\) | −10.4876 | + | 2.39374i | −0.399838 | + | 0.0912604i | ||||
\(689\) | 22.6412 | − | 28.3912i | 0.862562 | − | 1.08162i | ||||
\(690\) | −19.2030 | + | 9.24767i | −0.731045 | + | 0.352053i | ||||
\(691\) | −43.2465 | − | 20.8264i | −1.64517 | − | 0.792274i | −0.999591 | − | 0.0285844i | \(-0.990900\pi\) |
−0.645583 | − | 0.763690i | \(-0.723386\pi\) | |||||||
\(692\) | 29.4629 | + | 36.9453i | 1.12001 | + | 1.40445i | ||||
\(693\) | 2.59076 | + | 2.06606i | 0.0984149 | + | 0.0784833i | ||||
\(694\) | −2.60330 | + | 5.40581i | −0.0988200 | + | 0.205202i | ||||
\(695\) | 14.0000 | 0.531050 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −3.71573 | −0.140743 | ||||||||
\(698\) | −5.38633 | + | 11.1848i | −0.203875 | + | 0.423352i | ||||
\(699\) | −34.5673 | − | 27.5665i | −1.30745 | − | 1.04266i | ||||
\(700\) | −27.0057 | − | 33.8640i | −1.02072 | − | 1.27994i | ||||
\(701\) | −36.1403 | − | 17.4042i | −1.36500 | − | 0.657349i | −0.399254 | − | 0.916840i | \(-0.630731\pi\) |
−0.965746 | + | 0.259491i | \(0.916445\pi\) | |||||||
\(702\) | −3.44929 | + | 1.66109i | −0.130185 | + | 0.0626939i | ||||
\(703\) | −14.9638 | + | 18.7640i | −0.564369 | + | 0.707696i | ||||
\(704\) | 3.96900 | − | 0.905898i | 0.149587 | − | 0.0341423i | ||||
\(705\) | 1.74199 | + | 7.63215i | 0.0656071 | + | 0.287443i | ||||
\(706\) | 50.9072 | − | 40.5971i | 1.91592 | − | 1.52789i | ||||
\(707\) | 6.46125 | + | 1.47474i | 0.243000 | + | 0.0554633i | ||||
\(708\) | − | 33.7990i | − | 1.27024i | ||||||
\(709\) | 6.48474 | − | 28.4115i | 0.243539 | − | 1.06702i | −0.694229 | − | 0.719754i | \(-0.744255\pi\) |
0.937768 | − | 0.347261i | \(-0.112888\pi\) | |||||||
\(710\) | −9.24767 | − | 19.2030i | −0.347059 | − | 0.720675i | ||||
\(711\) | 2.96274 | + | 6.15220i | 0.111112 | + | 0.230726i | ||||
\(712\) | −12.2637 | + | 53.7309i | −0.459603 | + | 2.01365i | ||||
\(713\) | − | 36.8284i | − | 1.37924i | ||||||
\(714\) | −13.3144 | − | 3.03894i | −0.498281 | − | 0.113729i | ||||
\(715\) | −1.23982 | + | 0.988722i | −0.0463666 | + | 0.0369761i | ||||
\(716\) | 5.52484 | + | 24.2059i | 0.206473 | + | 0.904618i | ||||
\(717\) | 46.2660 | − | 10.5599i | 1.72784 | − | 0.394367i | ||||
\(718\) | 5.91398 | − | 7.41589i | 0.220708 | − | 0.276759i | ||||
\(719\) | 18.1474 | − | 8.73935i | 0.676785 | − | 0.325923i | −0.0637252 | − | 0.997967i | \(-0.520298\pi\) |
0.740510 | + | 0.672045i | \(0.234584\pi\) | |||||||
\(720\) | 7.64497 | + | 3.68163i | 0.284911 | + | 0.137206i | ||||
\(721\) | 8.51491 | + | 10.6774i | 0.317112 | + | 0.397646i | ||||
\(722\) | −32.0876 | − | 25.5890i | −1.19418 | − | 0.952325i | ||||
\(723\) | −19.1834 | + | 39.8347i | −0.713438 | + | 1.48147i | ||||
\(724\) | −31.8284 | −1.18289 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 63.1127 | 2.34233 | ||||||||
\(727\) | −0.569997 | + | 1.18361i | −0.0211400 | + | 0.0438977i | −0.911271 | − | 0.411806i | \(-0.864898\pi\) |
0.890131 | + | 0.455704i | \(0.150612\pi\) | |||||||
\(728\) | 37.3708 | + | 29.8022i | 1.38505 | + | 1.10454i | ||||
\(729\) | 14.8568 | + | 18.6298i | 0.550251 | + | 0.689993i | ||||
\(730\) | 8.70053 | + | 4.18995i | 0.322021 | + | 0.155077i | ||||
\(731\) | 2.67638 | − | 1.28888i | 0.0989897 | − | 0.0476709i | ||||
\(732\) | −27.8247 | + | 34.8911i | −1.02843 | + | 1.28961i | ||||
\(733\) | −40.2205 | + | 9.18006i | −1.48558 | + | 0.339073i | −0.886917 | − | 0.461929i | \(-0.847157\pi\) |
−0.598661 | + | 0.801003i | \(0.704300\pi\) | |||||||
\(734\) | −9.66984 | − | 42.3663i | −0.356920 | − | 1.56377i | ||||
\(735\) | 1.88751 | − | 1.50524i | 0.0696218 | − | 0.0555215i | ||||
\(736\) | 5.65360 | + | 1.29040i | 0.208394 | + | 0.0475647i | ||||
\(737\) | − | 2.34315i | − | 0.0863109i | ||||||
\(738\) | 6.81524 | − | 29.8595i | 0.250873 | − | 1.09914i | ||||
\(739\) | 1.76637 | + | 3.66791i | 0.0649770 | + | 0.134926i | 0.930928 | − | 0.365203i | \(-0.119000\pi\) |
−0.865951 | + | 0.500129i | \(0.833286\pi\) | |||||||
\(740\) | −6.64437 | − | 13.7972i | −0.244252 | − | 0.507194i | ||||
\(741\) | 12.3401 | − | 54.0655i | 0.453324 | − | 1.98614i | ||||
\(742\) | − | 64.7696i | − | 2.37777i | ||||||
\(743\) | −23.0637 | − | 5.26415i | −0.846126 | − | 0.193123i | −0.222585 | − | 0.974913i | \(-0.571449\pi\) |
−0.623541 | + | 0.781791i | \(0.714307\pi\) | |||||||
\(744\) | −83.9108 | + | 66.9166i | −3.07632 | + | 2.45328i | ||||
\(745\) | −1.74199 | − | 7.63215i | −0.0638215 | − | 0.279620i | ||||
\(746\) | −61.9342 | + | 14.1361i | −2.26757 | + | 0.517558i | ||||
\(747\) | −13.5028 | + | 16.9320i | −0.494043 | + | 0.619510i | ||||
\(748\) | 1.18361 | − | 0.569997i | 0.0432771 | − | 0.0208411i | ||||
\(749\) | −37.7876 | − | 18.1976i | −1.38073 | − | 0.664925i | ||||
\(750\) | −32.7057 | − | 41.0116i | −1.19424 | − | 1.49753i | ||||
\(751\) | 19.7911 | + | 15.7828i | 0.722186 | + | 0.575924i | 0.914101 | − | 0.405488i | \(-0.132898\pi\) |
−0.191915 | + | 0.981412i | \(0.561470\pi\) | |||||||
\(752\) | −4.22079 | + | 8.76455i | −0.153916 | + | 0.319610i | ||||
\(753\) | −48.4558 | −1.76583 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 14.1421 | 0.514685 | ||||||||
\(756\) | −1.94609 | + | 4.04110i | −0.0707786 | + | 0.146973i | ||||
\(757\) | −19.9482 | − | 15.9082i | −0.725030 | − | 0.578192i | 0.189901 | − | 0.981803i | \(-0.439183\pi\) |
−0.914931 | + | 0.403611i | \(0.867755\pi\) | |||||||
\(758\) | −10.4924 | − | 13.1570i | −0.381099 | − | 0.477884i | ||||
\(759\) | −3.29471 | − | 1.58665i | −0.119590 | − | 0.0575917i | ||||
\(760\) | 23.8624 | − | 11.4915i | 0.865581 | − | 0.416842i | ||||
\(761\) | 28.4299 | − | 35.6499i | 1.03058 | − | 1.29231i | 0.0751267 | − | 0.997174i | \(-0.476064\pi\) |
0.955456 | − | 0.295135i | \(-0.0953647\pi\) | |||||||
\(762\) | 24.6790 | − | 5.63283i | 0.894027 | − | 0.204056i | ||||
\(763\) | −7.96602 | − | 34.9014i | −0.288389 | − | 1.26352i | ||||
\(764\) | −75.7686 | + | 60.4234i | −2.74121 | + | 2.18604i | ||||
\(765\) | −2.28440 | − | 0.521399i | −0.0825926 | − | 0.0188512i | ||||
\(766\) | 8.48528i | 0.306586i | ||||||||
\(767\) | 3.11529 | − | 13.6490i | 0.112487 | − | 0.492836i | ||||
\(768\) | −31.3938 | − | 65.1899i | −1.13283 | − | 2.35234i | ||||
\(769\) | 21.3092 | + | 44.2490i | 0.768429 | + | 1.59566i | 0.802798 | + | 0.596251i | \(0.203344\pi\) |
−0.0343686 | + | 0.999409i | \(0.510942\pi\) | |||||||
\(770\) | −0.629384 | + | 2.75751i | −0.0226814 | + | 0.0993739i | ||||
\(771\) | 43.8701i | 1.57994i | ||||||||
\(772\) | 19.3026 | + | 4.40569i | 0.694715 | + | 0.158564i | ||||
\(773\) | −15.2572 | + | 12.1672i | −0.548764 | + | 0.437625i | −0.858215 | − | 0.513291i | \(-0.828426\pi\) |
0.309451 | + | 0.950915i | \(0.399855\pi\) | |||||||
\(774\) | 5.44849 | + | 23.8714i | 0.195842 | + | 0.858039i | ||||
\(775\) | 39.2743 | − | 8.96409i | 1.41077 | − | 0.322000i | ||||
\(776\) | 12.3445 | − | 15.4795i | 0.443141 | − | 0.555681i | ||||
\(777\) | −24.6088 | + | 11.8510i | −0.882836 | + | 0.425151i | ||||
\(778\) | 6.58942 | + | 3.17330i | 0.236242 | + | 0.113768i | ||||
\(779\) | −16.7792 | − | 21.0404i | −0.601176 | − | 0.753851i | ||||
\(780\) | 27.6649 | + | 22.0620i | 0.990563 | + | 0.789948i | ||||
\(781\) | 1.58665 | − | 3.29471i | 0.0567748 | − | 0.117894i | ||||
\(782\) | 7.31371 | 0.261538 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 3.00000 | 0.107143 | ||||||||
\(785\) | 3.68163 | − | 7.64497i | 0.131403 | − | 0.272861i | ||||
\(786\) | 97.1233 | + | 77.4533i | 3.46427 | + | 2.76267i | ||||
\(787\) | 33.7204 | + | 42.2840i | 1.20200 | + | 1.50726i | 0.809090 | + | 0.587685i | \(0.199961\pi\) |
0.392912 | + | 0.919576i | \(0.371468\pi\) | |||||||
\(788\) | 6.89859 | + | 3.32218i | 0.245752 | + | 0.118348i | ||||
\(789\) | 5.99762 | − | 2.88830i | 0.213521 | − | 0.102826i | ||||
\(790\) | −3.63396 | + | 4.55685i | −0.129291 | + | 0.162125i | ||||
\(791\) | 36.7127 | − | 8.37944i | 1.30535 | − | 0.297939i | ||||
\(792\) | 1.15078 | + | 5.04191i | 0.0408913 | + | 0.179156i | ||||
\(793\) | −14.4524 | + | 11.5254i | −0.513219 | + | 0.409278i | ||||
\(794\) | −45.5277 | − | 10.3914i | −1.61572 | − | 0.368777i | ||||
\(795\) | − | 22.8995i | − | 0.812161i | ||||||
\(796\) | −0.413414 | + | 1.81128i | −0.0146531 | + | 0.0641993i | ||||
\(797\) | 22.4492 | + | 46.6162i | 0.795191 | + | 1.65123i | 0.758294 | + | 0.651913i | \(0.226033\pi\) |
0.0368972 | + | 0.999319i | \(0.488253\pi\) | |||||||
\(798\) | −42.9162 | − | 89.1164i | −1.51922 | − | 3.15468i | ||||
\(799\) | 0.597756 | − | 2.61894i | 0.0211471 | − | 0.0926515i | ||||
\(800\) | 6.34315i | 0.224264i | ||||||||
\(801\) | 34.4283 | + | 7.85804i | 1.21646 | + | 0.277650i | ||||
\(802\) | 35.2150 | − | 28.0830i | 1.24348 | − | 0.991645i | ||||
\(803\) | 0.368685 | + | 1.61531i | 0.0130106 | + | 0.0570032i | ||||
\(804\) | −50.9734 | + | 11.6343i | −1.79769 | + | 0.410312i | ||||
\(805\) | −6.44885 | + | 8.08660i | −0.227292 | + | 0.285015i | ||||
\(806\) | −83.8651 | + | 40.3873i | −2.95402 | + | 1.42258i | ||||
\(807\) | −68.4206 | − | 32.9496i | −2.40852 | − | 1.15988i | ||||
\(808\) | 6.44885 | + | 8.08660i | 0.226870 | + | 0.284485i | ||||
\(809\) | 28.3682 | + | 22.6229i | 0.997372 | + | 0.795378i | 0.978877 | − | 0.204451i | \(-0.0655409\pi\) |
0.0184955 | + | 0.999829i | \(0.494112\pi\) | |||||||
\(810\) | −9.93572 | + | 20.6317i | −0.349106 | + | 0.724925i | ||||
\(811\) | −10.8284 | −0.380238 | −0.190119 | − | 0.981761i | \(-0.560887\pi\) | ||||
−0.190119 | + | 0.981761i | \(0.560887\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 39.9706 | 1.40183 | ||||||||
\(814\) | 1.73553 | − | 3.60388i | 0.0608305 | − | 0.126316i | ||||
\(815\) | 3.07176 | + | 2.44965i | 0.107599 | + | 0.0858075i | ||||
\(816\) | −3.74094 | − | 4.69099i | −0.130959 | − | 0.164217i | ||||
\(817\) | 19.3841 | + | 9.33489i | 0.678164 | + | 0.326586i | ||||
\(818\) | 41.2635 | − | 19.8714i | 1.44274 | − | 0.694789i | ||||
\(819\) | 19.0959 | − | 23.9455i | 0.667264 | − | 0.836723i | ||||
\(820\) | 16.7410 | − | 3.82103i | 0.584623 | − | 0.133436i | ||||
\(821\) | −0.330506 | − | 1.44804i | −0.0115347 | − | 0.0505370i | 0.968833 | − | 0.247715i | \(-0.0796796\pi\) |
−0.980368 | + | 0.197178i | \(0.936822\pi\) | |||||||
\(822\) | 54.6822 | − | 43.6076i | 1.90726 | − | 1.52099i | ||||
\(823\) | −52.9233 | − | 12.0794i | −1.84479 | − | 0.421061i | −0.850335 | − | 0.526241i | \(-0.823601\pi\) |
−0.994453 | + | 0.105180i | \(0.966458\pi\) | |||||||
\(824\) | 21.3137i | 0.742498i | ||||||||
\(825\) | 0.890084 | − | 3.89971i | 0.0309887 | − | 0.135771i | ||||
\(826\) | −10.8343 | − | 22.4977i | −0.376974 | − | 0.782795i | ||||
\(827\) | −14.2746 | − | 29.6414i | −0.496375 | − | 1.03073i | −0.987202 | − | 0.159476i | \(-0.949020\pi\) |
0.490827 | − | 0.871257i | \(-0.336695\pi\) | |||||||
\(828\) | −8.81138 | + | 38.6052i | −0.306217 | + | 1.34162i | ||||
\(829\) | 29.7990i | 1.03496i | 0.855695 | + | 0.517481i | \(0.173130\pi\) | ||||
−0.855695 | + | 0.517481i | \(0.826870\pi\) | |||||||
\(830\) | −18.0218 | − | 4.11336i | −0.625546 | − | 0.142777i | ||||
\(831\) | −32.6798 | + | 26.0612i | −1.13365 | + | 0.904055i | ||||
\(832\) | −8.37289 | − | 36.6840i | −0.290278 | − | 1.27179i | ||||
\(833\) | −0.807657 | + | 0.184342i | −0.0279836 | + | 0.00638708i | ||||
\(834\) | 50.8755 | − | 63.7959i | 1.76167 | − | 2.20907i | ||||
\(835\) | −2.85749 | + | 1.37609i | −0.0988875 | + | 0.0476217i | ||||
\(836\) | 8.57247 | + | 4.12828i | 0.296485 | + | 0.142780i | ||||
\(837\) | −2.60093 | − | 3.26147i | −0.0899014 | − | 0.112733i | ||||
\(838\) | 17.9591 | + | 14.3219i | 0.620387 | + | 0.494742i | ||||
\(839\) | −3.44023 | + | 7.14372i | −0.118770 | + | 0.246629i | −0.951875 | − | 0.306486i | \(-0.900847\pi\) |
0.833105 | + | 0.553115i | \(0.186561\pi\) | |||||||
\(840\) | 30.1421 | 1.04000 | ||||||||
\(841\) | 0 | 0 | ||||||||
\(842\) | −89.5980 | −3.08775 | ||||||||
\(843\) | −33.4888 | + | 69.5402i | −1.15341 | + | 2.39509i | ||||
\(844\) | 58.0222 | + | 46.2712i | 1.99721 | + | 1.59272i | ||||
\(845\) | 1.03303 | + | 1.29538i | 0.0355374 | + | 0.0445625i | ||||
\(846\) | 19.9494 | + | 9.60711i | 0.685874 | + | 0.330299i | ||||
\(847\) | 27.5943 | − | 13.2887i | 0.948153 | − | 0.456606i | ||||
\(848\) | 17.7419 | − | 22.2477i | 0.609260 | − | 0.763988i | ||||
\(849\) | 27.4366 | − | 6.26221i | 0.941620 | − | 0.214919i | ||||
\(850\) | 1.78017 | + | 7.79942i | 0.0610592 | + | 0.267518i | ||||
\(851\) | 11.4362 | − | 9.12005i | 0.392027 | − | 0.312631i | ||||
\(852\) | −79.5521 | − | 18.1573i | −2.72541 | − | 0.622057i | ||||
\(853\) | − | 22.9706i | − | 0.786497i | −0.919432 | − | 0.393249i | \(-0.871351\pi\) | ||
0.919432 | − | 0.393249i | \(-0.128649\pi\) | |||||||
\(854\) | −7.33664 | + | 32.1439i | −0.251055 | + | 1.09994i | ||||
\(855\) | −7.36325 | − | 15.2899i | −0.251818 | − | 0.522905i | ||||
\(856\) | −28.4002 | − | 58.9737i | −0.970700 | − | 2.01568i | ||||
\(857\) | 1.37330 | − | 6.01684i | 0.0469112 | − | 0.205531i | −0.946041 | − | 0.324047i | \(-0.894956\pi\) |
0.992952 | + | 0.118516i | \(0.0378136\pi\) | |||||||
\(858\) | 9.24264i | 0.315539i | ||||||||
\(859\) | −19.2333 | − | 4.38988i | −0.656232 | − | 0.149781i | −0.118576 | − | 0.992945i | \(-0.537833\pi\) |
−0.537656 | + | 0.843164i | \(0.680690\pi\) | |||||||
\(860\) | −10.7329 | + | 8.55922i | −0.365990 | + | 0.291867i | ||||
\(861\) | −6.81524 | − | 29.8595i | −0.232263 | − | 1.01761i | ||||
\(862\) | 46.2660 | − | 10.5599i | 1.57583 | − | 0.359672i | ||||
\(863\) | −10.6696 | + | 13.3792i | −0.363197 | + | 0.455435i | −0.929533 | − | 0.368740i | \(-0.879789\pi\) |
0.566335 | + | 0.824175i | \(0.308361\pi\) | |||||||
\(864\) | 0.591805 | − | 0.284998i | 0.0201336 | − | 0.00969584i | ||||
\(865\) | 11.1208 | + | 5.35549i | 0.378118 | + | 0.182092i | ||||
\(866\) | −46.1015 | − | 57.8095i | −1.56659 | − | 1.96445i | ||||
\(867\) | −30.7923 | − | 24.5560i | −1.04576 | − | 0.833966i | ||||
\(868\) | −47.3167 | + | 98.2541i | −1.60603 | + | 3.33496i | ||||
\(869\) | −1.00000 | −0.0339227 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −21.6569 | −0.733815 | ||||||||
\(872\) | 24.2411 | − | 50.3372i | 0.820908 | − | 1.70463i | ||||
\(873\) | −9.91854 | − | 7.90977i | −0.335692 | − | 0.267705i | ||||
\(874\) | 33.0266 | + | 41.4141i | 1.11714 | + | 1.40085i | ||||
\(875\) | −22.9349 | − | 11.0449i | −0.775342 | − | 0.373385i | ||||
\(876\) | 33.3093 | − | 16.0409i | 1.12542 | − | 0.541973i | ||||
\(877\) | −23.1577 | + | 29.0389i | −0.781981 | + | 0.980574i | 0.218008 | + | 0.975947i | \(0.430044\pi\) |
−0.999989 | + | 0.00462667i | \(0.998527\pi\) | |||||||
\(878\) | 0.807657 | − | 0.184342i | 0.0272571 | − | 0.00622125i | ||||
\(879\) | 4.11336 | + | 18.0218i | 0.138740 | + | 0.607861i | ||||
\(880\) | −0.971536 | + | 0.774774i | −0.0327505 | + | 0.0261176i | ||||
\(881\) | 13.6490 | + | 3.11529i | 0.459846 | + | 0.104957i | 0.446167 | − | 0.894950i | \(-0.352789\pi\) |
0.0136788 | + | 0.999906i | \(0.495646\pi\) | |||||||
\(882\) | − | 6.82843i | − | 0.229925i | ||||||
\(883\) | 8.55068 | − | 37.4630i | 0.287753 | − | 1.26073i | −0.599847 | − | 0.800115i | \(-0.704772\pi\) |
0.887600 | − | 0.460615i | \(-0.152371\pi\) | |||||||
\(884\) | −5.26828 | − | 10.9397i | −0.177191 | − | 0.367941i | ||||
\(885\) | −3.83051 | − | 7.95414i | −0.128761 | − | 0.267375i | ||||
\(886\) | −13.0775 | + | 57.2961i | −0.439346 | + | 1.92490i | ||||
\(887\) | − | 17.1005i | − | 0.574179i | −0.957904 | − | 0.287089i | \(-0.907312\pi\) | ||
0.957904 | − | 0.287089i | \(-0.0926877\pi\) | |||||||
\(888\) | −41.5587 | − | 9.48549i | −1.39462 | − | 0.318312i | ||||
\(889\) | 9.60423 | − | 7.65912i | 0.322116 | − | 0.256879i | ||||
\(890\) | 6.70726 | + | 29.3864i | 0.224828 | + | 0.985035i | ||||
\(891\) | −3.83043 | + | 0.874270i | −0.128324 | + | 0.0292891i | ||||
\(892\) | 7.57050 | − | 9.49310i | 0.253479 | − | 0.317853i | ||||
\(893\) | 17.5291 | − | 8.44157i | 0.586589 | − | 0.282487i | ||||
\(894\) | −41.1089 | − | 19.7970i | −1.37489 | − | 0.662111i | ||||
\(895\) | 4.04351 | + | 5.07040i | 0.135160 | + | 0.169485i | ||||
\(896\) | −45.4574 | − | 36.2510i | −1.51862 | − | 1.21106i | ||||
\(897\) | −14.6648 | + | 30.4518i | −0.489644 | + | 1.01676i | ||||
\(898\) | −84.4264 | −2.81735 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −43.3137 | −1.44379 | ||||||||
\(901\) | −3.40940 | + | 7.07969i | −0.113584 | + | 0.235859i | ||||
\(902\) | 3.50673 | + | 2.79653i | 0.116761 | + | 0.0931142i | ||||
\(903\) | 15.2663 | + | 19.1434i | 0.508031 | + | 0.637051i | ||||
\(904\) | 52.9495 | + | 25.4992i | 1.76108 | + | 0.848089i | ||||
\(905\) | −7.49039 | + | 3.60718i | −0.248989 | + | 0.119907i | ||||
\(906\) | 51.3920 | − | 64.4436i | 1.70739 | − | 2.14099i | ||||
\(907\) | 21.7256 | − | 4.95872i | 0.721385 | − | 0.164651i | 0.153961 | − | 0.988077i | \(-0.450797\pi\) |
0.567424 | + | 0.823425i | \(0.307940\pi\) | |||||||
\(908\) | −6.93633 | − | 30.3900i | −0.230190 | − | 1.00853i | ||||
\(909\) | 5.18152 | − | 4.13213i | 0.171860 | − | 0.137054i | ||||
\(910\) | 25.4867 | + | 5.81717i | 0.844876 | + | 0.192837i | ||||
\(911\) | − | 15.4437i | − | 0.511671i | −0.966720 | − | 0.255835i | \(-0.917649\pi\) | ||
0.966720 | − | 0.255835i | \(-0.0823505\pi\) | |||||||
\(912\) | 9.66984 | − | 42.3663i | 0.320200 | − | 1.40289i | ||||
\(913\) | −1.37609 | − | 2.85749i | −0.0455421 | − | 0.0945691i | ||||
\(914\) | 1.07832 | + | 2.23916i | 0.0356678 | + | 0.0740649i | ||||
\(915\) | −2.59389 | + | 11.3646i | −0.0857515 | + | 0.375702i | ||||
\(916\) | 13.4558i | 0.444594i | ||||||||
\(917\) | 58.7728 | + | 13.4145i | 1.94085 | + | 0.442986i | ||||
\(918\) | 0.647690 | − | 0.516516i | 0.0213770 | − | 0.0170476i | ||||
\(919\) | −1.81180 | − | 7.93800i | −0.0597656 | − | 0.261850i | 0.936214 | − | 0.351430i | \(-0.114305\pi\) |
−0.995980 | + | 0.0895801i | \(0.971447\pi\) | |||||||
\(920\) | −15.7374 | + | 3.59196i | −0.518847 | + | 0.118424i | ||||
\(921\) | −4.36443 | + | 5.47282i | −0.143813 | + | 0.180336i | ||||
\(922\) | 30.4518 | − | 14.6648i | 1.00288 | − | 0.482961i | ||||
\(923\) | −30.4518 | − | 14.6648i | −1.00233 | − | 0.482699i | ||||
\(924\) | 6.75141 | + | 8.46601i | 0.222105 | + | 0.278511i | ||||
\(925\) | 12.5093 | + | 9.97584i | 0.411303 | + | 0.328003i | ||||
\(926\) | 27.2347 | − | 56.5534i | 0.894987 | − | 1.85846i | ||||
\(927\) | 13.6569 | 0.448550 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 18.6863 | 0.613077 | 0.306539 | − | 0.951858i | \(-0.400829\pi\) | ||||
0.306539 | + | 0.951858i | \(0.400829\pi\) | |||||||
\(930\) | −25.4683 | + | 52.8855i | −0.835139 | + | 1.73418i | ||||
\(931\) | −4.69099 | − | 3.74094i | −0.153741 | − | 0.122604i | ||||
\(932\) | −43.7146 | − | 54.8163i | −1.43192 | − | 1.79557i | ||||
\(933\) | 5.84304 | + | 2.81386i | 0.191292 | + | 0.0921216i | ||||
\(934\) | 83.4279 | − | 40.1768i | 2.72984 | − | 1.31462i | ||||
\(935\) | 0.213948 | − | 0.268282i | 0.00699684 | − | 0.00877376i | ||||
\(936\) | 46.6006 | − | 10.6363i | 1.52319 | − | 0.347658i | ||||
\(937\) | −3.69995 | − | 16.2105i | −0.120872 | − | 0.529575i | −0.998717 | − | 0.0506309i | \(-0.983877\pi\) |
0.877845 | − | 0.478944i | \(-0.158980\pi\) | |||||||
\(938\) | −30.2001 | + | 24.0838i | −0.986069 | + | 0.786364i | ||||
\(939\) | 23.1330 | + | 5.27996i | 0.754917 | + | 0.172305i | ||||
\(940\) | 12.4142i | 0.404907i | ||||||||
\(941\) | −12.5942 | + | 55.1790i | −0.410560 | + | 1.79878i | 0.170991 | + | 0.985273i | \(0.445303\pi\) |
−0.581551 | + | 0.813510i | \(0.697554\pi\) | |||||||
\(942\) | −21.4581 | − | 44.5582i | −0.699142 | − | 1.45178i | ||||
\(943\) | 7.11657 | + | 14.7777i | 0.231747 | + | 0.481228i | ||||
\(944\) | 2.44118 | − | 10.6955i | 0.0794536 | − | 0.348109i | ||||
\(945\) | 1.17157i | 0.0381113i | ||||||||
\(946\) | −3.49588 | − | 0.797913i | −0.113661 | − | 0.0259424i | ||||
\(947\) | 2.04466 | − | 1.63057i | 0.0664427 | − | 0.0529863i | −0.589705 | − | 0.807618i | \(-0.700756\pi\) |
0.656148 | + | 0.754632i | \(0.272185\pi\) | |||||||
\(948\) | 4.96527 | + | 21.7543i | 0.161264 | + | 0.706545i | ||||
\(949\) | 14.9298 | − | 3.40762i | 0.484641 | − | 0.110616i | ||||
\(950\) | −36.1257 | + | 45.3002i | −1.17207 | + | 1.46973i | ||||
\(951\) | 68.4206 | − | 32.9496i | 2.21869 | − | 1.06846i | ||||
\(952\) | −9.31885 | − | 4.48772i | −0.302026 | − | 0.145448i | ||||
\(953\) | −22.2133 | − | 27.8546i | −0.719560 | − | 0.902300i | 0.278753 | − | 0.960363i | \(-0.410079\pi\) |
−0.998313 | + | 0.0580628i | \(0.981508\pi\) | |||||||
\(954\) | −50.6389 | − | 40.3832i | −1.63949 | − | 1.30745i | ||||
\(955\) | −10.9832 | + | 22.8069i | −0.355408 | + | 0.738013i | ||||
\(956\) | 75.2548 | 2.43392 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −16.6569 | −0.538159 | ||||||||
\(959\) | 14.7265 | − | 30.5799i | 0.475544 | − | 0.987476i | ||||
\(960\) | −18.5512 | − | 14.7941i | −0.598739 | − | 0.477478i | ||||
\(961\) | −43.9101 | − | 55.0616i | −1.41646 | − | 1.77618i | ||||
\(962\) | −33.3093 | − | 16.0409i | −1.07394 | − | 0.517180i | ||||
\(963\) | −37.7876 | + | 18.1976i | −1.21769 | + | 0.586409i | ||||
\(964\) | −43.7146 | + | 54.8163i | −1.40795 | + | 1.76551i | ||||
\(965\) | 5.04191 | − | 1.15078i | 0.162305 | − | 0.0370450i | ||||
\(966\) | 13.4145 | + | 58.7728i | 0.431605 | + | 1.89098i | ||||
\(967\) | 27.5538 | − | 21.9734i | 0.886071 | − | 0.706618i | −0.0706887 | − | 0.997498i | \(-0.522520\pi\) |
0.956759 | + | 0.290881i | \(0.0939483\pi\) | |||||||
\(968\) | 46.6006 | + | 10.6363i | 1.49780 | + | 0.341863i | ||||
\(969\) | 12.0000i | 0.385496i | ||||||||
\(970\) | 2.40955 | − | 10.5569i | 0.0773660 | − | 0.338963i | ||||
\(971\) | −6.79325 | − | 14.1063i | −0.218006 | − | 0.452694i | 0.763070 | − | 0.646315i | \(-0.223691\pi\) |
−0.981076 | + | 0.193621i | \(0.937977\pi\) | |||||||
\(972\) | 35.9740 | + | 74.7008i | 1.15387 | + | 2.39603i | ||||
\(973\) | 8.81138 | − | 38.6052i | 0.282480 | − | 1.23763i | ||||
\(974\) | − | 27.7990i | − | 0.890737i | ||||||
\(975\) | −36.0436 | − | 8.22672i | −1.15432 | − | 0.263466i | ||||
\(976\) | −11.3250 | + | 9.03143i | −0.362506 | + | 0.289089i | ||||
\(977\) | −8.04893 | − | 35.2647i | −0.257508 | − | 1.12822i | −0.923906 | − | 0.382620i | \(-0.875022\pi\) |
0.666398 | − | 0.745597i | \(-0.267835\pi\) | |||||||
\(978\) | 22.3254 | − | 5.09562i | 0.713886 | − | 0.162940i | ||||
\(979\) | −3.22442 | + | 4.04330i | −0.103053 | + | 0.129224i | ||||
\(980\) | 3.44929 | − | 1.66109i | 0.110184 | − | 0.0530616i | ||||
\(981\) | −32.2538 | − | 15.5326i | −1.02978 | − | 0.495918i | ||||
\(982\) | 31.9752 | + | 40.0957i | 1.02037 | + | 1.27950i | ||||
\(983\) | −17.0987 | − | 13.6358i | −0.545364 | − | 0.434913i | 0.311657 | − | 0.950195i | \(-0.399116\pi\) |
−0.857021 | + | 0.515281i | \(0.827687\pi\) | |||||||
\(984\) | 20.7392 | − | 43.0654i | 0.661142 | − | 1.37287i | ||||
\(985\) | 2.00000 | 0.0637253 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 22.1421 | 0.704792 | ||||||||
\(988\) | 38.1562 | − | 79.2322i | 1.21391 | − | 2.52071i | ||||
\(989\) | −10.2519 | − | 8.17563i | −0.325992 | − | 0.259970i | ||||
\(990\) | 1.76350 | + | 2.21135i | 0.0560476 | + | 0.0702814i | ||||
\(991\) | −11.5580 | − | 5.56605i | −0.367152 | − | 0.176811i | 0.241206 | − | 0.970474i | \(-0.422457\pi\) |
−0.608358 | + | 0.793663i | \(0.708171\pi\) | |||||||
\(992\) | 14.3890 | − | 6.92937i | 0.456851 | − | 0.220008i | ||||
\(993\) | −3.63396 | + | 4.55685i | −0.115320 | + | 0.144607i | ||||
\(994\) | −58.7728 | + | 13.4145i | −1.86416 | + | 0.425482i | ||||
\(995\) | 0.107985 | + | 0.473114i | 0.00342336 | + | 0.0149987i | ||||
\(996\) | −55.3299 | + | 44.1241i | −1.75319 | + | 1.39813i | ||||
\(997\) | 27.5751 | + | 6.29384i | 0.873313 | + | 0.199328i | 0.635610 | − | 0.772010i | \(-0.280748\pi\) |
0.237703 | + | 0.971338i | \(0.423606\pi\) | |||||||
\(998\) | − | 45.7990i | − | 1.44974i | ||||||
\(999\) | 0.368685 | − | 1.61531i | 0.0116647 | − | 0.0511063i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))